An Introduction To Nonassociative Algebras

Author : Richard D. Schafer
Publisher : Courier Dover Publications
ISBN 13 : 0486164179
Total Pages : 176 pages
Book Rating : 4.75/5 ( download)

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Download or read book An Introduction to Nonassociative Algebras written by Richard D. Schafer and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Richard Donald Schafer
Publisher : Courier Corporation
ISBN 13 : 0486688135
Total Pages : 177 pages
Book Rating : 4.38/5 ( download)

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Download or read book An Introduction to Nonassociative Algebras written by Richard Donald Schafer and published by Courier Corporation. This book was released on 2017-12-13 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment's prerequisites include an acquaintance with the fundamentals of abstract and linear algebra. After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.

Author : Susumu Okubo
Publisher : Cambridge University Press
ISBN 13 : 0521472156
Total Pages : 152 pages
Book Rating : 4.59/5 ( download)

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Download or read book Introduction to Octonion and Other Non-Associative Algebras in Physics written by Susumu Okubo and published by Cambridge University Press. This book was released on 1995-08-03 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author aims to familiarize researchers and graduate students in both physics and mathematics with the application of non-associative algebras in physics.Topics covered by the author range from algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and YangSHBaxter equations. The author also covers non-associative gauge theoretic reformulation of Einstein's general relativity theory and so on. Much of the material found in this book is not available in other standard works.

Author : Richard Donald Schafer
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.40/5 ( download)

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Download or read book An Introduction to Nonassociative Algebras written by Richard Donald Schafer and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard Donald Schafer
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.30/5 ( download)

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Download or read book An Introduction to Nonassociative Algebras written by Richard Donald Schafer and published by . This book was released on 1995 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard D. Schafer
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724279323
Total Pages : 80 pages
Book Rating : 4.27/5 ( download)

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Download or read book An Introduction to Nonassociative Algebras written by Richard D. Schafer and published by Createspace Independent Publishing Platform. This book was released on 2018-07-26 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Lev Sabinin
Publisher : CRC Press
ISBN 13 : 1420003453
Total Pages : 553 pages
Book Rating : 4.51/5 ( download)

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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.

Author : Matej Brešar
Publisher : Springer
ISBN 13 : 3319086936
Total Pages : 227 pages
Book Rating : 4.34/5 ( download)

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Download or read book Introduction to Noncommutative Algebra written by Matej Brešar and published by Springer. This book was released on 2014-10-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.

Author : Louis Halle Rowen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821883976
Total Pages : 464 pages
Book Rating : 4.76/5 ( download)

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Download or read book Graduate Algebra written by Louis Halle Rowen and published by American Mathematical Soc.. This book was released on 2006 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties. Major topics include the theory of modules over a principal ideal domain, and its applicationsto matrix theory (including the Jordan decomposition), the Galois theory of field extensions, transcendence degree, the prime spectrum of an algebra, localization, and the classical theory of Noetherian and Artinian rings. Later chapters include some algebraic theory of elliptic curves (featuring theMordell-Weil theorem) and valuation theory, including local fields. One feature of the book is an extension of the text through a series of appendices. This permits the inclusion of more advanced material, such as transcendental field extensions, the discriminant and resultant, the theory of Dedekind domains, and basic theorems of rings of algebraic integers. An extended appendix on derivations includes the Jacobian conjecture and Makar-Limanov's theory of locally nilpotent derivations. Grobnerbases can be found in another appendix. Exercises provide a further extension of the text. The book can be used both as a textbook and as a reference source.

Author : Abdenacer Makhlouf
Publisher : John Wiley & Sons
ISBN 13 : 111981815X
Total Pages : 368 pages
Book Rating : 4.51/5 ( download)

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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.