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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
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This book has developed from a series of lectures which were given by the author in mechanics-mathematics department of the Moscow State University. In 1981 the course "Additional chapters in algebra" replaced the course "Gen­ eral algebra" which was founded by A. G. Kurosh (1908-1971), professor and head of the department of higher algebra for a period of several decades. The material of this course formed the basis of A. G. Kurosh's well-known book "Lectures on general algebra" (Moscow,1962; 2-nd edition: Moscow, Nauka, 1973) and the book "General algebra. Lectures of 1969-1970. " (Moscow, Nauka, 1974). Another book based on the course, "Elements of general al­ gebra" (M. : Nauka, 1983) was published by L. A. Skorniakov, professor, now deceased, in the same department. It should be noted that A. G. Kurosh was not only the lecturer for the course "General algebra" but he was also the recognized leader of the scientific school of the same name. It is difficult to determine the limits of this school; however, the "Lectures . . . " of 1962 men­ tioned above contain some material which exceed these limits. Eventually this effect intensified: the lectures of the course were given by many well-known scientists, and some of them see themselves as "general algebraists". Each lecturer brought significant originality not only in presentation of the material but in the substance of the course. Therefore not all material which is now accepted as necessary for algebraic students fits within the scope of general 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