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Structure Of Linear Associative Algebras
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Book Synopsis Linear Associative Algebras by : Alexander Abian
Download or read book Linear Associative Algebras written by Alexander Abian and published by Elsevier. This book was released on 2014-05-09 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Structure of Linear Associative Algebras by : James B. Riles
Download or read book Structure of Linear Associative Algebras written by James B. Riles and published by . This book was released on 1959 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Associative Algebra by : Benjamin Peirce
Download or read book Linear Associative Algebra written by Benjamin Peirce and published by . This book was released on 1870 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs by : Raj Chandra Bose
Download or read book Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs written by Raj Chandra Bose and published by . This book was released on 1958 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Algebras by : Abraham Adrian Albert
Download or read book Structure of Algebras written by Abraham Adrian Albert and published by American Mathematical Soc.. This book was released on 1939-12-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.
Book Synopsis Synopsis of Linear Associative Algebra by : James Byrnie Shaw
Download or read book Synopsis of Linear Associative Algebra written by James Byrnie Shaw and published by . This book was released on 1907 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis LINEAR ASSOCIATIVE ALGEBRA by : BENJAMIN. PEIRCE
Download or read book LINEAR ASSOCIATIVE ALGEBRA written by BENJAMIN. PEIRCE and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Algebras by : Leonard Eugene Dickson
Download or read book Linear Algebras written by Leonard Eugene Dickson and published by . This book was released on 1914 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Associative Algebra (Classic Reprint) by : Benjamin Peirce
Download or read book Linear Associative Algebra (Classic Reprint) written by Benjamin Peirce and published by Forgotten Books. This book was released on 2018-01-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Linear Associative Algebra Aristotle to discover it. It must be transmuted into all the possible shapes in which reasoning loves to clothe itself. The transmutation is the mathematical process in the establishment of the law. Of some sciences, it is so large a portion that they have been quite abandoned to the mathematician, - which may not have been altogether to the advantage of philosophy. Such is the case with geometry and analytic mechanics. But in many other sciences, as in all those of mental philosophy and most of the branches of natural history, the deductions are so immediate and of such simple construction, that it is of no practical use to separate the mathematical portion and subject it to isolated discussion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Linear Associative Algebra by : Benjamin Peirce
Download or read book Linear Associative Algebra written by Benjamin Peirce and published by Sagwan Press. This book was released on 2015-08-22 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Linear Associative Algebras of Infinite Rank Whose Elements Satisfy Finite Algebraic Equations by : Herman Henry Conwell
Download or read book Linear Associative Algebras of Infinite Rank Whose Elements Satisfy Finite Algebraic Equations written by Herman Henry Conwell and published by . This book was released on 1931 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Extending Structures written by Ana Agore and published by CRC Press. This book was released on 2019-08-29 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. Features Provides a unified approach to the extension problem and the factorization problem Introduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of data Describes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structures Introduces new (non)abelian cohomological objects for all of the aforementioned categories As an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are described
Book Synopsis A Structure Theory for Linear Associative Nilpotent Algebras by : Lawrence Cada
Download or read book A Structure Theory for Linear Associative Nilpotent Algebras written by Lawrence Cada and published by . This book was released on 1964 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Synopsis of Linear Associative Algebra - A Report on Its Natural Development and Results Reached Up to the Present Time by : James Byrnie Shaw
Download or read book Synopsis of Linear Associative Algebra - A Report on Its Natural Development and Results Reached Up to the Present Time written by James Byrnie Shaw and published by Brouwer Press. This book was released on 2012-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Book Synopsis Spinors, Clifford and Cayley Algebras by : Robert Hermann
Download or read book Spinors, Clifford and Cayley Algebras written by Robert Hermann and published by Math-Sci Press. This book was released on 1974 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Linear Associative Algebras by : J. H. Maclagan-Wedderburn
Download or read book Theory of Linear Associative Algebras written by J. H. Maclagan-Wedderburn and published by . This book was released on 1908 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Synopsis of Linear Associative Algebra: A Report on Its Natural Development and Results Reached Up T by : James Byrnie Shaw
Download or read book Synopsis of Linear Associative Algebra: A Report on Its Natural Development and Results Reached Up T written by James Byrnie Shaw and published by Wentworth Press. This book was released on 2019-02-27 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
