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020 _a9781461300410
_9978-1-4613-0041-0
024 7 _a10.1007/978-1-4613-0041-0
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
072 7 _aPBF
_2thema
082 0 4 _a512
_223
100 1 _aLang, Serge.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAlgebra
_h[electronic resource] /
_cby Serge Lang.
250 _a3rd ed. 2002.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2002.
300 _aXV, 918 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v211
505 0 _aOne 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.
520 _aThis 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.
650 0 _aAlgebra.
650 0 _aCommutative algebra.
650 0 _aCommutative rings.
650 0 _aMatrix theory.
650 0 _aAssociative rings.
650 0 _aRings (Algebra).
650 0 _aGroup theory.
650 1 4 _aAlgebra.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11000
650 2 4 _aCommutative Rings and Algebras.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11043
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11094
650 2 4 _aAssociative Rings and Algebras.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11027
650 2 4 _aGroup Theory and Generalizations.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11078
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9781461265511
776 0 8 _iPrinted edition:
_z9780387953854
776 0 8 _iPrinted edition:
_z9781461300427
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v211
856 4 0 _uhttps://doi.org/10.1007/978-1-4613-0041-0
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