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Non Associative Structures And Other Related Structures
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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.
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 . This book was released on 2020 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.
Book Synopsis Non-Associative Algebras and Related Topics by : Helena Albuquerque
Download or read book Non-Associative Algebras and Related Topics written by Helena Albuquerque and published by Springer Nature. This book was released on 2023-07-28 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, Portugal, from July 18–22, 2022. The conference was held in honor of mathematician Alberto Elduque, who has made significant contributions to the study of non-associative structures such as Lie, Jordan, and Leibniz algebras. The papers in this volume are organized into four parts: Lie algebras, superalgebras, and groups; Leibniz algebras; associative and Jordan algebras; and other non-associative structures. They cover a variety of topics, including classification problems, special maps (automorphisms, derivations, etc.), constructions that relate different structures, and representation theory. One of the unique features of NAART is that it is open to all topics related to non-associative algebras, including octonion algebras, composite algebras, Banach algebras, connections with geometry, applications in coding theory, combinatorial problems, and more. This diversity allows researchers from a range of fields to find the conference subjects interesting and discover connections with their own areas, even if they are not traditionally considered non-associative algebraists. Since its inception in 2011, NAART has been committed to fostering cross-disciplinary connections in the study of non-associative structures.
Book Synopsis Non-commutative and Non-associative Algebra and Analysis Structures by : Sergei Silvestrov
Download or read book Non-commutative and Non-associative Algebra and Analysis Structures written by Sergei Silvestrov and published by Springer Nature. This book was released on 2023-09-25 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks: 1. Stochastic processes and modern statistical methods in theory and practice, 2. Engineering Mathematics, 3. Algebraic Structures and applications. This book highlights the latest advances in algebraic structures and applications focused on mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods for the natural sciences, engineering, and modern technology. In particular, the book features mathematical methods and models from non-commutative and non-associative algebras and rings associated to generalizations of differential calculus, quantum deformations of algebras, Lie algebras, Lie superalgebras, color Lie algebras, Hom-algebras and their n-ary generalizations, semi-groups and group algebras, non-commutative and non-associative algebras and computational algebra interplay with q-special functions and q-analysis, topology, dynamical systems, representation theory, operator theory and functional analysis, applications of algebraic structures in coding theory, information analysis, geometry and probability theory. The book gathers selected, high-quality contributed chapters from several large research communities working on modern algebraic structures and their applications. The chapters cover both theory and applications, and are illustrated with a wealth of ideas, theorems, notions, proofs, examples, open problems, and results on the interplay of algebraic structures with other parts of Mathematics. The applications help readers grasp the material, and encourage them to develop new mathematical methods and concepts in their future research. Presenting new methods and results, reviews of cutting-edge research, open problems, and directions for future research, will serve as a source of inspiration for a broad range of researchers and students.
Download or read book Algebra VI written by and published by . This book was released on 1995 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Structures in Integrability by : Vladimir Sokolov
Download or read book Algebraic Structures in Integrability written by Vladimir Sokolov and published by . This book was released on 2020-05-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models. The book is intelligible to graduate and PhD students and can serve as an introduction to separate sections of the theory of classical integrable systems for scientists with algebraic inclinations. For the young, the book can serve as a starting point in the study of various aspects of integrability, while professional algebraists will be able to use some examples of algebraic structures, which appear in the theory of integrable systems, for wide-ranging generalizations. The statements are formulated in the simplest possible form. However, some ways of generalization are indicated. In the proofs, only essential points are mentioned, while for technical details, references are provided. The focus is on carefully selected examples. In addition, the book proposes many unsolved problems of various levels of complexity. A deeper understanding of every chapter of the book may require the study of more rigorous and specialized literature.
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 209 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.
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.
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.
Book Synopsis Regular CA-Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NETGroupoids) with Green Relations by : Wangtao Yuan
Download or read book Regular CA-Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NETGroupoids) with Green Relations written by Wangtao Yuan and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the theories of AG-groupoid, neutrosophic extended triplet (NET) and semigroup, the characteristics of regular cyclic associative groupoids (CA-groupoids) and cyclic associative neutrosophic extended triplet groupoids (CA-NET-groupoids) are further studied, and some important results are obtained.
Book Synopsis Non-Associative and Non-Commutative Algebra and Operator Theory by : Cheikh Thiécoumbe Gueye
Download or read book Non-Associative and Non-Commutative Algebra and Operator Theory written by Cheikh Thiécoumbe Gueye and published by Springer. This book was released on 2016-11-21 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associative algebras, operator theory and ring and module theory. These themes are relevant in research and development in coding theory, cryptography and quantum mechanics. The topics in this volume were presented at the Workshop on Non-Associative & Non-Commutative Algebra and Operator Theory, held May 23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honor of Professor Amin Kaidi. The workshop was hosted by the university's Laboratory of Algebra, Cryptology, Algebraic Geometry and Applications, in cooperation with the University of Almería and the University of Málaga. Dr. Kaidi's work focuses on non-associative rings and algebras, operator theory and functional analysis, and he has served as a mentor to a generation of mathematicians in Senegal and around the world.
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.
Book Synopsis Algebra and Applications 1 by : Abdenacer Makhlouf
Download or read book Algebra and Applications 1 written by Abdenacer Makhlouf and published by John Wiley & Sons. This book was released on 2021-03-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.
Book Synopsis Neutrosophic Triplet Non-Associative Semihypergroups with Application by : Muhammad Gulistan
Download or read book Neutrosophic Triplet Non-Associative Semihypergroups with Application written by Muhammad Gulistan and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we extended the idea of a neutrosophic triplet set to non-associative semihypergroups and define neutrosophic triplet LA-semihypergroup.We discuss some basic results and properties. At the end, we provide an application of the proposed structure in Football.
Book Synopsis Use of Computers for Environmental Engineering Related to Buildings by : Tamami Kusuda
Download or read book Use of Computers for Environmental Engineering Related to Buildings written by Tamami Kusuda and published by . This book was released on 1971 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov
Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.
