Linear Associative Algebra

Linear Associative Algebra PDF Author: Benjamin Peirce
Publisher: BoD – Books on Demand
ISBN: 3385410533
Category : Fiction
Languages : en
Pages : 142

Book Description
Reprint of the original, first published in 1882.

Linear Associative Algebra

Linear Associative Algebra PDF Author: Benjamin Peirce
Publisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 178

Book Description


Synopsis of Linear Associative Algebra

Synopsis of Linear Associative Algebra PDF Author: James Byrnie Shaw
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 154

Book Description


Linear Associative Algebras

Linear Associative Algebras PDF Author: Alexander Abian
Publisher: Elsevier
ISBN: 1483186792
Category : Mathematics
Languages : en
Pages : 175

Book Description
Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedderburn structure theorems. The publication first elaborates on semigroups and groups, rings and fields, direct sum and tensor product of rings, and polynomial and matrix rings. The text then ponders on vector spaces, including finite dimensional vector spaces and matrix representation of vectors. The book takes a look at linear associative algebras, as well as the idempotent and nilpotent elements of an algebra, ideals of an algebra, total matrix algebras and the canonical forms of matrices, matrix representation of algebras, and division of algebras. The manuscript also tackles the Wedderburn structure theorems, including direct sum and tensor product decomposition of algebras, nilpotent algebras and the radical of an algebra, and structure of simple and semi-simple algebras. The publication is highly recommended for mathematicians and students interested in the Wedderburn structure theorems and finite dimensional linear associative algebras.

Linear Associative Algebra

Linear Associative Algebra PDF Author: Benjamin Peirce
Publisher:
ISBN:
Category : Algebra, Universal
Languages : en
Pages : 154

Book Description


Introduction to Octonion and Other Non-Associative Algebras in Physics

Introduction to Octonion and Other Non-Associative Algebras in Physics PDF Author: Susumu Okubo
Publisher: Cambridge University Press
ISBN: 0521472156
Category : Mathematics
Languages : en
Pages : 152

Book Description
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.

An Introduction to Nonassociative Algebras

An Introduction to Nonassociative Algebras PDF Author: Richard D. Schafer
Publisher: Courier Dover Publications
ISBN: 0486164179
Category : Mathematics
Languages : en
Pages : 177

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.

Collected Mathematical Papers: Associative algebras and Riemann matrices

Collected Mathematical Papers: Associative algebras and Riemann matrices PDF Author: Abraham Adrian Albert
Publisher: American Mathematical Soc.
ISBN: 9780821870556
Category : Associative algebras
Languages : en
Pages : 824

Book Description
This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.

A Theory of Analytic Functions in Linear Associative Algebras

A Theory of Analytic Functions in Linear Associative Algebras PDF Author: James Audley Ward
Publisher:
ISBN:
Category :
Languages : en
Pages : 140

Book Description


Non-Associative Algebra and Its Applications

Non-Associative Algebra and Its Applications PDF Author: Santos González
Publisher: Springer Science & Business Media
ISBN: 9401109907
Category : Mathematics
Languages : en
Pages : 429

Book Description
This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come. The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.