Basic Structures of Modern Algebra

By (author) Bahturin, Yuri

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 Bahturin, Yuri
シリーズ名 Mathematics and its Applications 265
出版元 Springer
刊行年月 2010.12.08
版表示 1st ed. Softcover of orig. ed. 1993
ページ数 431p
大きさ H235 x W155
ISBN 9789048143177
言語 英語
出版国 オランダ
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