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Basic Structures of Modern Algebra : Mathematics and Its Applications - Yuri Bahturin

Basic Structures of Modern Algebra

Mathematics and Its Applications

Hardcover Published: 31st August 1993
ISBN: 9780792324591
Number Of Pages: 422

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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. This work should be suitable for graduate students and researchers wishing to obtain a good introduction to the concepts of contemporary algebra.

Preface
Recommendations to the reader
Introductionp. 1
Commutative algebrap. 51
Groupsp. 105
Associative ringsp. 157
Lie algebrasp. 199
Homological algebrap. 245
Algebraic groupsp. 289
Varieties of algebrasp. 335
Set-theoretic supplementp. 375
Referencesp. 397
Symbol indexp. 401
Subject indexp. 405
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792324591
ISBN-10: 0792324595
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 422
Published: 31st August 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 1.73

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