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Feldname	Details
Dewey Class	512
Titel	Algebra ([EBook]) / by Serge Lang.
Verfasser	Lang, Serge. , 1927-2005
Other name(s)	SpringerLink (Online service)
Edition statement	Revised Third Edition.
Veröffentl	New York, NY : Springer , 2002.
Physical Details	XV, 914 pages : online resource.
Reihe	Graduate texts in mathematics 0072-5285 ; ; 211
ISBN	9781461300410
Summary Note	This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Comments on Serge Lang's Algebra: Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books. April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books. The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra. MathSciNet's review of the first edition.:
Contents note	One The Basic Objects of Algebra -- I Groups -- II Rings -- III Modules -- IV Polynomials -- Two Algebraic Equations -- V Algebraic Extensions -- VI Galois Theory -- VII Extensions of Rings -- VIII Transcendental Extensions -- IX Algebraic Spaces -- X Noetherian Rings and Modules -- XI Real Fields -- XII Absolute Values -- Three Linear Algebra and Representations -- XIII Matrices and Linear Maps -- XIV Representation of One Endomorphism -- XV Structure of Bilinear Forms -- XVI The Tensor Product -- XVII Semisimplicity -- XVIII Representations of Finite Groups -- XIX The Alternating Product -- Four Homological Algebra -- XX General Homology Theory -- XXI Finite Free Resolutions -- Appendix 2 Some Set Theory.
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/10.1007/978-1-4613-0041-0
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Algebra . Associative rings . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Group theory . Group Theory and Generalizations . Linear and Multilinear Algebras, Matrix Theory . Matrix theory . Rings (Algebra) . Authors: Lang, Serge. 1927-2005 . Lang, Serge, 1927-2005. . Lang, Serge. 1927-2005. . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 512 .

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Algebra

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