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Basic Notions of Algebra
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Catalogue Information
Field name
Details
Dewey Class
512.55
Title
Basic Notions of Algebra ([Ebook]) / by Igor R. Shafarevich.
Author
Shafarevich, I. R. (Igor Rostislavovich) , 1923-2017
Added Personal Name
Šafarevič, Igor Rostislavovič , 1923-2017
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer-Verlag , 2005.
Physical Details
258 pages : online resource
Series
Encyclopaedia of mathematical sciences
0938-0396 ; ; 11
ISBN
9783540264743
Contents note
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.- K-theory.
System details note
Online access to this digital book is restricted to susbcription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/b137643
Links to Related Works
Subject References:
Algebra
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K-Theory
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Topological groups
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Topological groups, Lie groups
.
Authors:
Šafarevič, Igor Rostislavovič 1923-2017
.
Shafarevich, I. R. (Igor Rostislavovich) 1923-2017
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Corporate Authors:
SpringerLink (Online service)
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Series:
Encyclopaedia of mathematical sciences
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Classification:
512.55
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