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Florentin Smarandache records his account of his emigration from Romania to America in this journal.

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...va din America. Poate vă interesaţi la vreun avocat. În orice caz, cu azil politic se poate uşor intra. Vă mulţumesc mult, mult de tot. Al d-voaStră, Florentin Smarandache. As you advised me, here I am in Istanbul. I managed to run away. Now I think it's easier to help me migrate. You may contact the U.S. Consulate in Istanbul by phone or by letter? I'm sorry for this i...

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This is a how-not-to-do book about codification, indexing, information, computer science, peripherals and terminals. The data entries are unselected and stored in a database. Afterwards, they are disorganized, unstructured and then manufactured. A data mudflow is designed later in order to misdirect all information. A nonquality control personnel filters and trashes all high valued documents and restores the chaos in the institution. The book helps with the malfunctioning of an administrative system....

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The illogical mudflow of a quarterly non-production process In looking at the illogical mudflow of a quarterly non-production process, it is very imperative for us to take into account several non-practical factors that take place during such non-production process. These factors include: - Tools under maintenance - Contracts - Transportation - Supply Below is an illustration of the two major phases that are not usually encountered during the execution of a non-production process. ...

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Contents Forward and Backward.........3 Chapter 1 ...................................5 Non-Basic symbols misused in Computer Science .....................5 Unintelligent terminal .........................9 The illogical mudflow of a quarterly non-production process ...............12 Chapter 2 ..................................15 The computer coding misused in Computer Science ...................15 Codification problems ..............................17 Codes misclassification .............................18 Chapter 3 ..................................21 Miscomputing the time for creating an application misusing the mudflow scrambles ........21 Misinformation deregistration and non-identification in files...............27 Chapter 4 ..................................29 Data storage and types of non-peripheral devices .....................29 Representation of Misinformation in internal memory ..............30 External non-peripherals ............................31 Printing paper ................................34 Magnetic band ...............................34 Magnetic disks ...............................35 The non-...

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Etimologic, aforism + flori = af(L)orism, deci un “aflorism” este o mică reflecție scrisă pe un dizain floral, ori un poem scurt pe un fond artistic.

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Cost piperat Sau ţi-o pune aşa un preţ ..să pici în coadă!

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Cuprins Cuprins..................................................5 Cât vreau eu..................................................25 Dezolare........................................................25 Lucrătură proastă....................................................25 Ridicol..................................................25 Dispreţuitor...................................................25 Încearcă pastile, că..................................................26 Dreptul de alegere..................................................26 Mister..................................................26 Unul sus pus..................................................26 Needucat.......................................................26 Ingâmfatul.....................................................27 Dublă condamnare..................................................27 Iritant sonor..................................................27 Iscoditor........................................................27 Sunt edificat..................................................27 Zăpacit de fericire...................................................

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Author’s imagination of how would look the physical micro-universe using composed, found, changed, modified, alternated, or computer-programmed art works. These images are part of a series of about 100 cyberart creations representing the unimaginable little word of physics particles, anti-particles, un-particles that compose the matter, anti-matter, and un-matter....

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Electronic Art (forward): 4 QUANTUM: 5 …micro-universe images QUANTUM THEORY: 23 …micro-universe images QUANTIZATION: 39 …micro-universe images QUANTUM NUMBERS: 56 …micro-universe images QUANTUM MECHANICS: 72 …micro-universe images GENERALIZATION OF SCHRÖDINGER EQUATION: 88 …micro-universe images...

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The scholastic psychunlogy is the part of psychunlogy that studies the multiple aspects of the influence of the disorganized education practiced in schools, of the misprocesses resulted from the educational intervention with the psychological laws of the children’s education and instruction, of unlearning, of lifestyle deformation, and students’ personalities in the misprocess of educational instruction. Along with the child psychunlogy, the scholastic psychunlogy constitutes the principal source of misinformation and fundament of the science of parapedagogy. With this booklet, this unauthor introduces a new literary-scientific genre called psychological science fiction as part of the PARADOXISM movement in literature and science....

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The separation of psychunlogy from philosophy and its deformation as an autonomous science takes place, especially as a result of the great regresses registered in some of the unnatural sciences such as biology (the anatomy and biology of the nervous system, the neuronvegetative and endocrine systems, senses organs), and physics (the science that proved the possibility of mess-experimentations and non-objective and relative exact measurements)....

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Psychological Science Fiction (Unpreface) ................. 3 Table of Contents .................................. 4 Chapter 1 – The non-object and the psychunlogy’s problems .......... 7 The science of psychunlogy .............................. 7 The psychic, brain’s malfunction, non‐objective reflection of the non‐objective world ....... 7 The psychic misprocess of cognition .......................... 11 The psychic characteristics .............................. 12 The object of the scholastic psychunlogy ........................ 12 Chapter 2 – The unconscious psychic activity ............... 14 The conscienceless notion .............................. 14 The principal malfunctions of the conscienceless ..................... 15 The conscienceless dimensions ............................ 15 Self‐conscienceless (self‐awarenessless) ....................... 16 The collective self‐conscienceless (self‐awarenessless) .................. 16 The levels of disorganization of the psychic inhuman activities ................ 16 The psychic development in autogenesis ........................ 17 The factors of psychic’s non‐develop...

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These ideas were either collected or inspired from author's various lectures of books, journals, newspapers, tv and radio shows, personal conversations. I started to write down such ideas since I was a high school student and continue even today - I always bear with me a small pen and small notebook where I write in the plane, or driving my car, or even in class room. Despite three decades of postponement, I hope this booklet will keep on inspiring the reader, as good ideas will always be worth to ponder....

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• Be competitive; • Don’t be panic, when under pressure; • Use probabilities (how much % you’re expected to produce); • Infiltrate in certain organizations; • To have power of influence; • Charm those who interact with you; • Be firm and fast in decisions; • To make a plan for a long period of time and subdivide it in smaller sub-plans for short periods of time...

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PREFACE ........................................ 3 CONTENTS......................................... 5 LIFE STRATEGIES 1. Best Tips for Life ...................................................... 6 2. Life Strategies in General Science..........................8 3. Life Strategies in Mathematics..............................11 4. Life Strategies in Medical Science .......................23 5. Life Strategies in Workplace & Social Life........28 6. Life Strategies in Personal Life .............................34 7. Life Strategies in General Arts .............................41 Appendix: Miscellaneous App.1. FS........................................ 54 App.2.American writing..............................................55 App3.The International Phonetic Alphabet.............67...

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A book of poems written by Florentin Smarandache whilst he was experiencing a dark time in life.

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EPILOGUE I leave you with my poems. Feel through me! I have achieves this volume in three years, but read it in T E N! It is a hut from the outside, and maybe a castle inside. (this volume holds connections with the earth!) The book has me between its covers - but now it is in its agony: ...

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...F THINGS - 71 SAD JOYS - 72 PRAYER - 73 A LIFE - 74 FROM THE SUN PLOWS, WE TEAR / ONLY THE SNOW - 75 AN EXTENSION OF ARCHIMEDES PRINCIPLE / OR / FLORENTIN'S PRINCIPLE- 76 THE TEACHINGS OF FLORENTIN SMARANDACHE TO HIS SON MIHAI - 77 EPILOGUE - 78 Short Comment by Gheorghe Tomozei – back cover...

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A collection of poetry relating to the author himself based on personal experiences.

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FATE IRONY before may I have been ”me” the fate was done from geometric signs Lobacevsky’s ones after my face but not looking like me in dropping of time...

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...Meeting of minds: Florentin Smarandache, preface by Cezar Ivãnescu: 5 1) IN THE VICINITY OF VICINITY – cycle: 6 PIT OF WORDS: 7 FATE IRONY: 8 DEFEATED TREE: 9 THE YELLOW ROSE: 10 WHEN I LOOK AT YOU: 11 BROKEN MIRROR: 12 LEFT FLOWER AND...

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One man's story of his reason for emigrating from his home country of Romania to come to America.

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...Carte poştală (Istanbul, 22.12.1988)…………203 78. Prof. Francisco Bellot Rosado, Carte postale (Istanbul, le 22.12.1988)…………204 79. GABRIEL şi MIHAI Smarandache, Carte poştală (Istanbul, 22.12.1988)…………205 80. Prof. Dr. R. K. GUY, Departament of Mathematics and Statistics 2500 University Drive N.W., Postcard (Istanbul, 22.12.1988) 206 81. Prof. Dr. Bernd Wegner, Post...

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This so-called “globalization” is called on Internet in the following ways: global totalitarianism, neo-totalitarianism, new world order, global fascist order, neo-fascism, today’s new fascism, semi-colonialism, neocolonialism, global cyber hegemony (global control and manipulation of the Internet), global dictatorship, etc. where a few elites from some power countries try to take over the whole globe, which would become a prison planet. These unscrupulous, immoral, corrupted, genocidal, power-hungry elites will exercise an apartheid policy against the whole world, controlling people’s soul through their totalitarian regulation coercions....

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Dark Strategies in Politics. Various ideas, hints, possible methods These ideas are compiled from various readings. They are unethical, immoral, unfair, and devilish. They are unfortunately examples of bad behavior and intentions of some powerful elites and other malignant people. IN CONCLUSION, THIS IS A DO-NOT-DO LIST!... • Corruption, deception, betray to reach your goal; • To take someone’s property; • In nature it doesn’t exist equality, nor liberty; • Real instincts; • Being sincere and honest you loose for sure;...

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Preface: The Wolf Dressed in Sheepskin : 4 Global Totalitarianism and the Working Animals: 6 International Injustice in Science, Arts, and Letters: 23 Dark Strategies in Politics: 29 Extracts from Machiavelli’s leading “Prince”: 52 Extracts from Sun Tzu’s “The Art of War”: 55 ADDENDA: More References on (Anti)Globalization: 63...

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We present in this course: the reproduction’s misprocess, the reproduction’s mistype, the material goods (and bads), the base inactivity and auxiliary inactivity, the system’s antistructure, the irresponsibility of a computer center, unstructured graphs, etc. Also, the disorganization’s structure, the principles of disorganization, the indecision making misprocess, the planning of unnecessary energy consummation, etc. The Reproduction’s misprocess is the connection which takes place between mankind and nature and during which humans modify the natural objects, and even the nature, in accordance with their societal disgusts....

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Disorganization’ structures The disorganization structures represent the mechanism formed of disorganization subdivisions to which there have been assigned competencies and responsibilities and amongst which there have been established the guidelines required for nonfunctionality and efficiency. In other words, the disorganization structure is the result of the modality in which various compartments and people as well as their relationships have been grouped and constituted with the aim of accomplishing in suboptimal conditions the proposed objective. The principal constructive steps in disorganization structure are: 1. The function (position), 2. The compartment, 3. The hierarchy, 4. The relations or subordination....

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Table of Contents................................ 4 Chapter 1 ................................ 7 The reproduction’s misprocess ............................. 7 The reproduction’s mistype ............................. 7 The material goods and bads ............................ 7 The base inactivity and auxiliary inactivity. ........................ 8 Chapter 2 ................................ 8 The reproduction’s incapacity ............................. 8 The system’s antistructure and the approach style of a system ................ 9 Characteristics .................................. 9 Chapter 3. ............................... 11 The systems’ disorganization ............................. 11 The general concept of disorganization. ........................ 11 The scientific disorganizations of enterprises ...................... 11 The micro disorganization level ........................... 13 The macro disorganization level ........................... 13 The level of disorganization’s structure ........................ 13 The level of integrated approach .......................... 13 The disorganization of the informa...

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Parapedagogy is the science which studies the techniques of instruction and destruction and the deconfiguration of personality. It is concerned with non goals, discontents, anti principles, methods and disorganization forms of the education. In the misseducation research other disciplines are involved, such as the inhuman anatomy and psychology (especially the mass brain washing), the anti sociology of education which studies the psycho-asocial-anti-cultural medium and its sad influence over the personality. ...

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The parapedagogy definition The parapedagogy is the science which studies the techniques of instruction and destruction and the deconfiguration of personality. It is concerned with non goals, discontents, principles, methods and disorganization forms of the instruction and misseducation. The fundamental research in parapedagogy has the main goal to discover the laws and principles of parapedagogy, to establish an idealistic philosophy of the misseducation guideline in the misprocess of reconfiguration of the inhuman personality. The applicative research is preoccupied with student’s individuality, to detect and develop the inaptitude, anti talents, and the discovery of methods and procedures, which would decrease the school efficiency in its misprocess. In the parapedagogy research other disciplines are involved, such as the inhuman anatomy and psychology (especially the brain washing in mass), the sociology of misseducation which studies the psycho-asocial-anti-cultural medium and its influence over the personality. The historic and dialectic immaterialism constitutes the theoretical and methodological base of the parapedagogy res...

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Table of Discontents .................................5 Chapter 1 – Misseducation and Parapedagogy............... 10 Misseducation and parapedagogy...........................10 The miss concept of misseducation..........................13 Chapter 2 - The parapedagogic research.................. 14 The parapedagogy definition.............................14 The non‐objectives of parapedagogy research......................14 Research methods in parapedagogy..........................14 The biological bases of the psychological under development...............18 The role of the environment in personality disconfiguration................19 The rapport between maturity, learning, under‐development...............19 Chapter 3 - Knowledge about student’s personality .............20 The phases of intellectual under‐development......................20 The miss‐concepts of individual, person and personality..................21 The psychological miss‐concept of personality ......................22 Chapter 4 – Programs of study and characterization ............ 26 The main characteristics ...............................29 CHOLERIC...

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The whole paradoxist distich should be as a geometric unitary parabola, hyperbola, ellipse at the borders between art, philosophy, rebus, and mathematics – which exist in complementariness. The School of Paradoxist Literature, which evolved around 1980s, continues through these bi-verses closed in a new lyric exact formula, but with an opening to essence. For this kind of procedural poems one can elaborate mathematical algorithms and implement them in a computer: but, it is preferable a machine with … soul!...

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I M M O D E S T With the shame Shamelessness U N D E C I D E D Fighting Himself J A Z Z ( I ) Melodious Anarchy J A Z Z ( I I ) Anarchic Melody...

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Fore/word and Back/word _________ 3 The making of the distich : _____ 3 Characteristics: ______________ 3 Historical considerations: _____ 5 Types of Paradoxist distiches ___ 8 1. Clichés paraphrased: ___ 8 2. Parodies: _____________ 8 3. Reversed formulae: ____ 8 4. Double negation _______ 8 5. Double affirmation, ____ 8 6. Turn around on false tracks: _________________ 8 7. Hyperboles (exaggerated): __________________ 8 8. With nuance changeable from the title: ________ 8 9. Epigrammatic: ________ 8 10. Pseudo-paradoxes: ___ 8 11. Tautologies: ________ 9 12. Redundant: _________ 9 13. Based on pleonasms: _ 9 14. or on anti-pleonasms: 9 15. Substitution of the attribute in collocations ___ 9 16. Substitution of the complement in collocations 9 17. Permutation of various parts of the whole: ___ 9 18. The negation of the clichés ______________ 10 19. Antonymization (substantively, adjectively, etc.) ________________ 10 20. Fable against the grain: _________________ 10 21. Change in grammatical category (preserving substitutions’ homonymy): ________________ 10 22. Epistolary or colloquia style: _________...

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A sample of idioms in book form.

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• Eşti liber să crezi că eşti liber. • Depinde de tine cât de independent vrei să fii. • A ieşit basma curată, deşi era cu musca pe căciulă. • Călăii au fost lăsaţi să judece după cum îi taie capul. • Ortopedului îi plăcea să pună osul la treabă. • Nituitorul avea cam multă bătaie de cap. • Era moartă după cel care tocmai decedase. • După ce moare încrederea şi optimismul, urmează speranţa. • Stăteau spate-n spate şi făceau feţe, feţe. • Lui Nazarie i s-a năzărit că zăreşte ceva în zare. • Eu cu fizica, el cu metafizica şi ea cu fizicul. • Pe unul îl înşelau speranţele, iar pe celălalt îl înşela soţia. • L-am amăgit că mă dezamăgeşte. • Dacă ai fi obligat să numeri până la un miliard, ai ezita să devii miliardar...

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Creionări încondeiate .......................................... 5 Distihuri proverbiale .......................................... 49 Poezii paradoxiste .............................................. 69 Dialoguri hazlii .................................................. 77 Dicţionar paradoxist ........................................... 95...

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Folclorul românesc cât şi folclorul altor popoare, ambundă de paradoxisme, pe care le am mai amintit şi-n alte lucrări. Noi ne oprim aici cu exemplele de paradoxişti şi paradoxisme, pentru a vă lăsa timp să vă delectaţi cu paradoxismele create de noi şi oferite dumneavoastră, în prezenta carte. Romanian folklore and folklore of other peoples ambundă paradoxist that we mentioned and in other works. We stop here and Paradoxisme paradoxists examples for you to leave while you enjoy paradoxismele created by us and provided to you in this book....

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• A făcut cel mai important pas, lipsit de importanţă. • Timpul probabil, este reprobabil. • A votat împotriva abţinerii. • S-a potrivit intr-un moment nepotrivit. • Au acelaşi stil, diferit. • Doctorul, era erudit în incultura sa. • A făcut tot ce era imposibil de făcut. • Era de o profunzime interioară extremă. • Au fost chemaţi toti nechemaţii. • Sunt în stare sa impoziteze si lipsurile de venituri impozabile. • Materia, este divină iar Divinitatea, este imaterială. • He made the most important step unimportant. • Most likely, it is reprehensible. • Voted against failure. • It was right in the wrong time. • Have the same style, different. • The doctor had learned in his ignorance. • He did what was impossible to do. • It was an extreme inner depth. • There have been called all nechemaţii. • Are able to tax and taxable income gaps. • Matter is Divine and the Divine, is immaterial....

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Introducere …………………………………………. 5 Panseuri paradoxiste ……………………………….. 8 Posibilităţi imposibile …………………………….. 45 Distihuri paradoxiste ……………………………... 51 Zicători distihice ………………………………….. 61 Fabule, parodii şi alte poezii ……………………… 79 Poeme trăsnite ……………………………………. 93 Umor paradoxist ………………………………… 101...

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“The Analects of Confucius” are considered a record of the words and acts of Confucius and his disciples, as well as the discussions they held. Written during the Spring and Autumn Period through the Warring States Period（475 BC - 221 BC) the Analects is the representative work of Confucianism and continues to have a tremendous influence on Chinese and East Asian thoughts and values today. In neutrosophy, between two ends there are many, sometimes a continuous range of neutralities (degrees of middle, or degrees of synthesis). Each middle (called “neutrality” or “indeterminacy” in neutrosophy) is a k% degree of truth and a (100-k)% degree of falsehood. We have a paradox if the sentence is 100% true, 100% false, and 100% indeterminate....

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Negative Part 3 You want to know a person truly, not only to understand this person’s words, but also understand this person’s actions and ideas. Commentary on Negative Part 3 Confucius did not mention to understand people’s ideas. While the words and actions are controlled by the ideas. Neutrosophic Part 3 The person’s time and energy were limited. For knowing a man truly, besides one person’s ability, other person’s help is needed in many cases, sometimes even the machine and the measuring appliance and so on are needed....

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Brief Introduction ……………………………………..3 Foreword………………………………………………..5 Positive, Negative and Neutrosophic Book 1…...……..13 Positive, Negative and Neutrosophic Book 2………….30 Positive, Negative and Neutrosophic Book 3………….48 Positive, Negative and Neutrosophic Book 4……….....54 Positive, Negative and Neutrosophic Book 5……….....58 Positive, Negative and Neutrosophic Book 6……….....63 Positive, Negative and Neutrosophic Book 7……….....69 Positive, Negative and Neutrosophic Book 8……….....74 Positive, Negative and Neutrosophic Book 9……….....79 Positive, Negative and Neutrosophic Book 10….……..84 Positive, Negative and Neutrosophic Book 11………...89 Positive, Negative and Neutrosophic Book 12….……..95 Positive, Negative and Neutrosophic Book 13……….101 Positive, Negative and Neutrosophic Book 14.………108 Positive, Negative and Neutrosophic Book 15……….115 Positive, Negative and Neutrosophic Book 16……….120 Positive, Negative and Neutrosophic Book 17……….126 Positive, Negative and Neutrosophic Book 18.………132 Positive, Negative and Neutrosophic Book 19……….136 Positive, Negative and Neutrosophic Book 20…….…141 Postscript ………………………………………...

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... de antiteze, antinomii, contradicţii, oximorone, parabole, paradoxuri în creaţie. A fost înfiinţat de către scriitorul, artistul, şi omul de ştiinţă Florentin Smarandache în anii 1980 în România, care dorea “lărgirea sferei artistice prin elemente neartistice şi prin experimente contradictorii; în special creaţie în contratimp, contra-sens.” pArAdOxIsM - the last front...

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L) Limitele filozofiei Întreaga filozofie este un tautologism: adevărat în virtutea de formă, pentru că orice idee lansată pentru prima oară este dovedită ca adevărată de către iniţiatorul(ii) său(i). Prin urmare, filozofia este goală sau dezinformativă, şi reprezintă a priori cunoaşterea. Se poate afirma: Totul este adevărat, chiar si falsul! Şi totuşi, întreaga filozofie este un nihilism: pentru ca orice idee, odată dovedită adevărată, este mai tîrziu dovedită ca falsă de către urmaşi. Este o contradicţie: fals în virtute de formă. Prin urmare, filozofia este supra-informativă şi o cunoaştere a posteriori. Astfel, se poate afirma: Totul este fals, chiar şi adevărul!...

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Introducere ............................................................. 5 pARadOXisMul - ultima avangardă a mileniului doi ...................................................... 12 1. Definiţie ............................................................ 12 2. Etimologie ........................................................ 12 3. Istoric ................................................................. 13 4. Caracteristici ale Paradoxismului ................. 16 5. Direcţii pentru Paradoxism ........................... 17 „Dicţionar de informatică“, de Denis Howe .. 18 1. Neutrosofie ....................................................... 18 2. Logica neutrosofică ......................................... 19 3. Mulţime Neutrosofică .................................... 20 4. Probabilitate Neutrosofică ............................. 21 5. Statistici neutrosofice ...................................... 22 Neutrosofia, o Nouă Ramură a Filosofiei ....... 24 1. Abstract ............................................................ 24 1.1. Cuvînt înainte .......................................... 25 1.2. Neutrosofie, o no...

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...И. Поэтому в каждом законе Флорентина есть негатив и ПОЗИТИВ, в то время как законы Мэрфи негативны, а законы Питера включают позитивные атрибуты. Florentin’s Laws are neither Murphy’s (pessimistic) Laws nor Peter’s (optimistic) Laws, but partially pessimistic and partially optimistic, while another part is neutral (ambiguous: neither pessimistic nor optimistic) – as in...

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ЗАКОН ФЛОРЕНТИНА, ЧТО И ПОЧЕМУ с 1980 года работают законы Флорентина: I.Всё ВОЗМОЖНО, невозможное тожеl 2.Ничто несовершенно,даже совершенное! З.Всё ПЛОХО,включая хорошее.и наоборот. 4 .Смысл включает бессмыслицу, и бессмыслица включает СМЫСЛ. 5.Всё обладает и не обладает величиной. Новая серия законов появилась в 1986- 1989 годах. Starting from the 1980 Paradoxism’s Laws: 1. All is possible, the impossible too! 2. Nothing is perfect, not even the perfect! 3. Everything is bad, the good included – and reciprocally; 4. The sense has a non-sense, and the nonsense a sense; 5. Anything has a value and a non-value; a new series of laws emerged in 1986-1989....

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Chapter one is introductory in nature and chapter two uses vector spaces to build quasi set topological vector subspaces. Not only we use vector spaces but we also use S-vector spaces, set vector spaces, semigroup vector spaces and group vector spaces to build set topological vector subspaces. These also give several finite set topological spaces. Such study is carried out in chapters three and four....

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To every quasi set topological vector subspace T relative to the set P  F, we have a lattice associated with it we call this lattice as the Representative Quasi Set Topological Vector subspace lattice (RQTV-lattice) of T relative to P. When T is finite we have a nice representation of them. In case T is infinite we have a lattice which is of infinite order. We can in all cases give the atoms of the lattice which is in fact the basic set of T over P. It is pertinent to keep on record that the T and the basic set (or the atoms of the RQTV-lattice) depends on the set P over which it is defined. We will illustrate this situation by some examples. ...

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Preface 5 Chapter One INTRODUCTION 7 Chapter Two QUASI SET TOPOLOGICAL VECTOR SUBSPACES 9 Chapter Three S-QUASI SET TOPOLOGICAL VECTOR SUBSPACES 59 Chapter Four NEW SET TOPOLOGICAL VECTOR SPACES 89 FURTHER READING 147 INDEX 149 ABOUT THE AUTHORS 152...

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This book has six chapters. First chapter is introductory in nature. The new concept of non-associative semi-linear algebras is introduced in chapter two. This structure is built using groupoids over semi-fields. Third chapter introduces the notion of non-associative linear algebras. These algebraic structures are built using the new class of loops. All these non-associative linear algebras are defined over the prime characteristic field Zp, p a prime. However if we take polynomial non associative, linear algebras over Zp, p a prime; they are of infinite dimension over Zp. We in chapter four introduce the notion of groupoid vector spaces of finite and infinite order and their generalizations. Only when this study becomes popular and familiar among researchers several applications will be found. The final chapter suggests around 215 problems some of which are at research level. ...

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Ln(m) is a loop of order n + 1 that is Ln(m) is always of even order greater than or equal to 6. For more about these loops please refer [37]. All properties discussed in case of groupoids can be done for the case of loops. However the resultant product may not be a loop in general. For the concept of semifield refer [41]. We will be using these loops and groupoids to build linear algebra and semilinear algebras which are non associative. ...

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Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two NON ASSOCIATIVE SEMILINEAR ALGEBRAS 13 Chapter Three NON ASSOCIATIVE LINEAR ALGEBRAS 83 Chapter Four GROUPOID VECTOR SPACES 111 Chapter Five APPLICATION OF NON ASSOCIATIVE VECTOR SPACES / LINEAR ALGEBRAS 161 Chapter Six SUGGESTED PROBLEMS 163 FURTHER READING 225 INDEX 229 ABOUT THE AUTHORS 231 ...