Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures

Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures PDF Author: Mahouton Norbert Hounkonnou
Publisher: Springer Nature
ISBN: 3031393341
Category : Mathematics
Languages : en
Pages : 600

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Book Description
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.

Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures

Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures PDF Author: Mahouton Norbert Hounkonnou
Publisher: Springer Nature
ISBN: 3031393341
Category : Mathematics
Languages : en
Pages : 600

Get Book

Book Description
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.

Algebra Without Borders - Classical and Constructive Nonassociative Algebraic Structures

Algebra Without Borders - Classical and Constructive Nonassociative Algebraic Structures PDF Author: Mahouton Norbert Hounkonnou
Publisher:
ISBN: 9783031393365
Category :
Languages : en
Pages : 0

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Book Description
Publisher's description: 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.

Non Associative Algebraic Structures Using Finite Complex Numbers

Non Associative Algebraic Structures Using Finite Complex Numbers PDF Author: W.B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 159973169X
Category : Mathematics
Languages : en
Pages : 215

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Book Description
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.

Classical Abstract Algebra

Classical Abstract Algebra PDF Author: Richard A. Dean
Publisher: HarperCollins Publishers
ISBN: 9780060416010
Category : Mathematics
Languages : en
Pages : 570

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Book Description
A text designed in two parts. The first introduces the main concepts and constructs and requires only the facility gained from a good course in high school algebra II or from a standard course in calculus. The second part discusses topics of intermediate sophistication which are often contained in first-year graduate courses in algebra. Annotation copyrighted by Book News, Inc., Portland, OR

An Introduction to Nonassociative Algebras

An Introduction to Nonassociative Algebras PDF Author: Richard D. Schafer
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724279323
Category :
Languages : en
Pages : 80

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Book Description
An Introduction to Nonassociative Algebras: Large Print By Richard D. Schafer An important addition to the mathematical literature ... contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly." - Bulletin of the American Mathematical Society This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

Algebraic Structures and Applications

Algebraic Structures and Applications PDF Author: Sergei Silvestrov
Publisher: Springer Nature
ISBN: 3030418502
Category : Mathematics
Languages : en
Pages : 976

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Book Description
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.

Discrete Mathematics and Algebraic Structures

Discrete Mathematics and Algebraic Structures PDF Author: Larry J. Gerstein
Publisher: W H Freeman & Company
ISBN: 9780716718048
Category : Algebra, Abstract.
Languages : en
Pages : 413

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Book Description
Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.

Homological Algebra of Semimodules and Semicontramodules

Homological Algebra of Semimodules and Semicontramodules PDF Author: Leonid Positselski
Publisher: Springer
ISBN: 9783034604376
Category :
Languages : en
Pages : 378

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Book Description
This book provides comprehensive coverage on semi-infinite homology and cohomology of associative algebraic structures. It features rich representation-theoretic and algebro-geometric examples and applications.

An Introduction to Nonassociative Algebras

An Introduction to Nonassociative Algebras PDF Author: Richard D. Schafer
Publisher:
ISBN: 9781849025904
Category :
Languages : en
Pages : 72

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Book Description
Concise graduate-level introductory study presents some of the important ideas and results in the theory of nonassociative algebras. Places particular emphasis on alternative and (commutative) Jordan algebras. 1966 edition.

Aspects of Abstract Algebra

Aspects of Abstract Algebra PDF Author:
Publisher:
ISBN: 9780335059010
Category : Algebra, Abstract
Languages : en
Pages : 60

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Book Description