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|Additional Physical Format:||Print version:
Shafarevich, I.R. (Igorʹ Rostislavovich), 1923-
Basic notions of algebra.
Berlin ; New York : Springer, ©2005
|Material Type:||Document, Internet resource|
|Document Type:||Internet Resource, Computer File|
|All Authors / Contributors:||
I R Shafarevich
|ISBN:||9783540264743 3540264744 3540251774 9783540251774 9783540612216 3540612211|
|Notes:||English ed. originally published in 1990 as: Algebra I.|
|Description:||1 online resource (258 pages) : illustrations.|
|Contents:||What is Algebra?; Fields; Commutative Rings; Homomorphisms and Ideals; Modules; Algebraic Aspects of Dimension; The Algebraic View of Infinitesimal Notions; Noncommutative Rings; Modules over Noncommutative Rings; Semisimple Modules and Rings; Division Algebras of Finite Rank; The Notion of a Group; Examples of Groups: Finite Groups; Examples of Groups: Infinite Discrete Groups; Examples of Groups: Lie Groups and Algebraic Groups; General Results of Group Theory; Group Representations; Some Applications of Groups; Lie Algebras and Nonassociative Algebra; Categories; Homological Algebra.|
|Series Title:||Encyclopaedia of mathematical sciences, v. 11.|
|Other Titles:||Algebra 1.|
|Responsibility:||Igor R. Shafarevich.|
From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..."