Non Associative Algebraic Structures On Mod Planes

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Non-Associative Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733684
Total Pages : 212 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Non-Associative Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy

Download or read book Non-Associative Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.

Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733676
Total Pages : 215 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-11-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.

The Encyclopedia of Neutrosophic Researchers, 1st volume

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599734680
Total Pages : 232 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Encyclopedia of Neutrosophic Researchers, 1st volume by : Florentin Smarandache

Download or read book The Encyclopedia of Neutrosophic Researchers, 1st volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Non Associative Algebraic Structures Using Finite Complex Numbers

Author : W.B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 159973169X
Total Pages : 215 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Non Associative Algebraic Structures Using Finite Complex Numbers by : W.B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Non Associative Algebraic Structures Using Finite Complex Numbers written by W.B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have used the concept of finite complex modulo integers to construct non associative algebraic structures like groupoids, loops and quasi-loops.Using these structures we built non associative complex matrix groupoids and complex polynomial groupoids.The authors suggest over 300 problems and some are at the research level.

Multidimensional MOD Planes. Series on MOD Mathematics

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 159973365X
Total Pages : 234 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Multidimensional MOD Planes. Series on MOD Mathematics by : W. B. Vasantha Kandasamy

Download or read book Multidimensional MOD Planes. Series on MOD Mathematics written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to define and develop the notion of multi-dimensional MOD planes. Here, several interesting features enjoyed by these multi-dimensional MOD planes are studied and analyzed. Interesting problems are proposed to the reader.

Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures

Author : Mahouton Norbert Hounkonnou
Publisher : Springer Nature
ISBN 13 : 3031393341
Total Pages : 600 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures by : Mahouton Norbert Hounkonnou

Download or read book Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures written by Mahouton Norbert Hounkonnou and published by Springer Nature. This book was released on 2023-12-01 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics. In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering. Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm.

MOD Planes: A New Dimension to Modulo Theory

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733633
Total Pages : 223 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Planes: A New Dimension to Modulo Theory by : W. B. Vasantha Kandasamy

Download or read book MOD Planes: A New Dimension to Modulo Theory written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new dimension is given to modulo theory by defining MOD planes. In this book, the authors consolidate the entire four quadrant plane into a single quadrant plane defined as the MOD planes. MOD planes can be transformed to infinite plane and vice versa. Several innovative results in this direction are obtained. This paradigm shift will certainly lead to new discoveries.

Non-Associative Algebra and Its Applications

Author : Lev Sabinin
Publisher : CRC Press
ISBN 13 : 1420003453
Total Pages : 553 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Non-Associative Algebra and Its Applications by : Lev Sabinin

Download or read book Non-Associative Algebra and Its Applications written by Lev Sabinin and published by CRC Press. This book was released on 2006-01-13 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Non-associative Structures and Other Related Structures

Author : Florin Felix Nichita
Publisher : MDPI
ISBN 13 : 3039362542
Total Pages : 106 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Non-associative Structures and Other Related Structures by : Florin Felix Nichita

Download or read book Non-associative Structures and Other Related Structures written by Florin Felix Nichita and published by MDPI. This book was released on 2020-06-16 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonhard Euler (1707–1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluates to Euler's identity. On the other hand, the Yang–Baxter equation is considered the most beautiful equation by many scholars. In this book, we study connections between Euler’s formulas and the Yang–Baxter equation. Other interesting sections include: non-associative algebras with metagroup relations; branching functions for admissible representations of affine Lie Algebras; super-Virasoro algebras; dual numbers; UJLA structures; etc.

The Multiplication Algebra of a Non-associative Algebra

Author : Scott Michael Farrand
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Multiplication Algebra of a Non-associative Algebra by : Scott Michael Farrand

Download or read book The Multiplication Algebra of a Non-associative Algebra written by Scott Michael Farrand and published by . This book was released on 1981 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Associative Algebraic Geometry

Author : Arvid Siqveland
Publisher : World Scientific
ISBN 13 : 1800613563
Total Pages : 420 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Associative Algebraic Geometry by : Arvid Siqveland

Download or read book Associative Algebraic Geometry written by Arvid Siqveland and published by World Scientific. This book was released on 2023-02-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Deformation Theory is used for determining the completions of local rings of an eventual moduli space. When a moduli variety exists, the main result explored in the book is that the local ring in a closed point can be explicitly computed as an algebraization of the pro-representing hull, called the local formal moduli, of the deformation functor for the corresponding closed point.The book gives explicit computational methods and includes the most necessary prerequisites for understanding associative algebraic geometry. It focuses on the meaning and the place of deformation theory, resulting in a complete theory applicable to moduli theory. It answers the question 'why moduli theory', and gives examples in mathematical physics by looking at the universe as a moduli of molecules, thereby giving a meaning to most noncommutative theories.The book contains the first explicit definition of a noncommutative scheme, not necessarily covered by commutative rings. This definition does not contradict any previous abstract definitions of noncommutative algebraic geometry, but sheds interesting light on other theories, which is left for further investigation.

Symposium on Algebraic Topology in Honor of Jose Adem

Author : Samuel Gitler
Publisher : American Mathematical Soc.
ISBN 13 : 0821850105
Total Pages : 374 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symposium on Algebraic Topology in Honor of Jose Adem by : Samuel Gitler

Download or read book Symposium on Algebraic Topology in Honor of Jose Adem written by Samuel Gitler and published by American Mathematical Soc.. This book was released on 1982 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Non-associative Approach to the Finite Projective Plane Conjecture

Author : Douglas J. Shaw
Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Non-associative Approach to the Finite Projective Plane Conjecture by : Douglas J. Shaw

Download or read book A Non-associative Approach to the Finite Projective Plane Conjecture written by Douglas J. Shaw and published by . This book was released on 1995 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conferenze

Author : Università di Bari. Seminario di matematica
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Conferenze by : Università di Bari. Seminario di matematica

Download or read book Conferenze written by Università di Bari. Seminario di matematica and published by . This book was released on 1987 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1978 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Fundamental Interactions

Author : Daniel Grumiller
Publisher : World Scientific
ISBN 13 : 9814273074
Total Pages : 422 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Fundamental Interactions by : Daniel Grumiller

Download or read book Fundamental Interactions written by Daniel Grumiller and published by World Scientific. This book was released on 2010 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memorial volume on the work of Wolfgang Kummer brings together articles devoted to the history of high energy physics with detailed coverage on the scientific concepts and scientific institutions, in particular CERN ? and the underlying physics involved. Covering recent advances and developments as well as giving a reminiscent overview in two rapidly evolving fields of high energy/particle physics, and gravitational physics, the commemorative volume contains more than 20 original invited paper contributions ? which will appear for the first time in print ? from eminent and renowned physicists who interacted and collaborated with Wolfgang Kummer, including Physics Nobel Laureate Jack Steinberger. Wolfgang Kummer was president of the CERN council from 1985 to 1987, among his numerous eminent academic and administrative positions which he held during his illustrious career. This volume also aims to demonstrate and highlight Wolfgang Kummer's significant contribution to the foundational work in gauge field theory, particle physics, and quantum gravity, and the tremendous impact leading to cutting-edge findings and advances at LHC.