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Basic Notions of Algebra

Basic Notions of Algebra
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
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Catalogue Information 23477 Beginning of record . Catalogue Information 23477 Top of page .

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