Basic structures of modern algebra

by Yuri Bahturin

This volume has developed from courses given at Moscow State University. The main purpose of the material presented is to introduce the concepts, results and problems of contemporary algebra, assuming some knowledge of the standard theory of linear algebra and vector spaces. One important aspect is also to demonstrate how the concepts discussed relate to each other and how they work in practice. The book begins with an introduction to the fundamental concepts of groups, rings, fields and modules and their representations. The seven chapters which follow are devoted respectively to the following topics: commutative algebra; groups; associative rings; Lie algebras; homological algebra; algebraic groups; and varieties of algebras. The volume concludes with a supplement dealing with set theory, references and indices. The book is as self-contained as possible. For graduate students and researchers wishing to obtain a good introduction to the concepts of contemporary algebra.

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[目次]

  • Preface. Recommendations to the reader. Introduction. 1: Commutative algebra. 2: Groups. 3: Associative rings. 4: Lie algebras. 5: Homological algebra. 6: Algebraic groups. 7: Varieties of algebras. Set-theoretic supplement. References. Symbol index. Subject index.

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この本の情報

書名 Basic structures of modern algebra
著作者等 Bakhturin, I︠U︡. A
Bahturin Yuri
書名別名 Osnovnye struktury sovremennoĭ algebry
シリーズ名 Mathematics and its applications
出版元 Kluwer Academic
刊行年月 c1993
ページ数 ix, 419 p.
大きさ 25 cm
ISBN 0792324595
NCID BA21081183
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言語 英語
原文言語 ロシア語
出版国 オランダ
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