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Basic Structures of Modern Algebra
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Catalogue Information
Field name
Details
Dewey Class
512.44
Title
Basic Structures of Modern Algebra ([EBook]) / by Yuri Bahturin.
Author
Bahturin, Yuri
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : Springer Netherlands , 1993.
Physical Details
X, 422 pages : online resource.
Series
Mathematics and its applications
; 265
ISBN
9789401708395
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-017-0839-5
Links to Related Works
Subject References:
Associative rings
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Commutative algebra
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Commutative rings
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Commutative Rings and Algebras
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Group theory
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Group Theory and Generalizations
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Non-associative Rings and Algebras
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Nonassociative rings
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Rings (Algebra)
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Authors:
Bahturin, Yuri
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications
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Classification:
512.44
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