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Ideals of Identities of Associative Algebras (Translations of Mathematical Monographs) 🔍
Aleksander Robertovich Kemer American Mathematical Society, Translations of Mathematical Monographs, Vol. 87, 1991
英语 [en] · PDF · 1.4MB · 1991 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
This book concerns the study of the structure of identities of PI-algebras over a field of characteristic zero. In the first chapter, the author brings out the connection between varieties of algebras and finitely-generated superalgebras. The second chapter examines graded identities of finitely-generated PI-superalgebras. One of the results proved concerns the decomposition of T-ideals, which is very useful for the study of specific varieties. In the fifth section of Chapter Two, the author solves Specht's problem, which asks whether every associative algebra over a field of characteristic zero has a finite basis of identities. The book closes with an application of methods and results established earlier: the author finds asymptotic bases of identities of algebras with unity satisfying all of the identities of the full algebra of matrices of order two.
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lgli/MMONO87AMS1991.pdf
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lgrsnf/MMONO87AMS1991.pdf
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zlib/Mathematics/Aleksandr Robertovich Kemer/Ideals of Identities of Associative Algebras_2325307.pdf
备用版本
Translations of mathematical monographs,, v. 87, Providence, R.I, Rhode Island, 1991
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American Mathematical Society, [N.p.], 2018
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United States, United States of America
元数据中的注释
0
元数据中的注释
lg1156671
元数据中的注释
{"isbns":["0821845489","9780821845486"],"last_page":90,"publisher":"American Mathematical Society","series":"Translations of Mathematical Monographs","volume":"87"}
元数据中的注释
Includes bibliographical references (p. 75-80) and index.
Translation of: Idealy tozhdestv assot͡s︡iativnykh algebr.
备用描述
Cover
S Title
Ideals of Identities of Associative Algebras
Copyright ©1991 by the American Mathematical Society
ISBN 0-8218-4548-9
QA251.5.K4613 1991 512' .24-dc20
LCCN 91-8147
Contents
Introduction
CHAPTER I Varieties and Superalgebras
§ 1. Technical statements, utilizing the theory of representations of the symmetric group
§2. Grassmann hulls of superalgebras
§3. Semiprime varieties. Generalization of the Dubnov-Ivanov-Nagata-Higman theorem
CHAPTER II Identities of Finitely-Generated Algebras
§1. Numerical characteristics of T2-ideals
§2. A theorem on the decomposition of T2-ideals
§3. Trace identities
§4. Graded identities of finitely-generated superalgebras
§5. Solution of Specht's problem
§6. On asymptotic bases of identities
Bibliography
Subject Index
Back Cover
备用描述
Aleksandr Robertovich Kemer. Translation Of: Idealy Tozhdestv Assot︠s︡iativnykh Algebr. Includes Bibliographical References And Index.
开源日期
2014-02-26
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