000			04506cam a2200421Ki 4500
001			ocn847527208
003			OCoLC
005			20240726105353.0
008			130610s2002 enka ob 001 0 eng d
040			_aNT _beng _epn _erda _cNT _dCAMBR _dIDEBK _dOCLCF _dYDXCP _dEBLCP _dDEBSZ _dEUX _dOCLCQ
020			_a9781107089525 _q((electronic)l(electronic)ctronic)
020			_a9781107326002 _q((electronic)l(electronic)ctronic)
020			_a9781107095830
050	0	4	_aQA612 _b.A444 2002
049			_aMAIN
100	1		_aMagurn, Bruce A. _e1
245	1	0	_aAn algebraic introduction to K-theoryBruce A. Magurn.
260			_aCambridge, UK ; _aNew York : _bCambridge University Press, _c(c)2002.
300			_a1 online resource (xiv, 676 pages) : _billustrations.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aEncyclopedia of mathematics and its applications ; _vv. 87
504			_a2
520	1		_a"The presentation is self-contained, with all the necessary background and proofs, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry.
520	8		_aThe prerequisites are minimal: just a first semester of algebra (including Galois theory and modules over a principal ideal domain). No experience with homological algebra, analysis, geometry, number theory, or topology is assumed. The author has.
520	8		_aSelected topics can be used to construct a variety of one-semester courses; coverage of the entire text requires a full year."--Jacket.
505	0	0	_tGroups of Modules: K[subscript 0. -- _tFree Modules -- _tBases -- _tMatrix Representations -- _tAbsence of Dimension -- _tProjective Modules -- _tDirect Summands -- _tSummands of Free Modules -- _tGrothendieck Groups -- _tSemigroups of Isomorphism Classes -- _tSemigroups to Groups -- _tGrothendieck Groups -- _tResolutions -- _tStability for Projective Modules -- _tAdding Copies of R -- _tStably Free Modules -- _tWhen Stably Free Modules Are Free -- _tStable Rank -- _tDimensions of a Ring -- _tMultiplying Modules -- _tSemirings -- _tBurnside Rings -- _tTensor Products of Modules -- _tChange of Rings -- _tK[subscript 0. of Related Rings -- _tG[subscript 0. of Related Rings -- _tK[subscript 0. as a Functor -- _tThe Jacobson Radical -- _tLocalization -- _tSources of K[subscript 0. -- _tNumber Theory -- _tAlgebraic Integers -- _tDedekind Domains -- _tIdeal Class Groups -- _tExtensions and Norms -- _tK[subscript 0. and G[subscript 0. of Dedekind Domains -- _tGroup Representation Theory -- _tLinear Representations -- _tRepresenting Finite Groups Over Fields -- _tSemisimple Rings -- _tCharacters -- _tGroups of Matrices: K[subscript 1. -- _tDefinition of K[subscript 1. -- _tElementary Matrices -- _tCommutators and K[subscript 1.(R) -- _tDeterminants -- _tThe Bass K[subscript 1. of a Category -- _tStability for K[subscript 1.(R) -- _tSurjective Stability -- _tInjective Stability -- _tRelative K[subscript 1. -- _tCongruence Subgroups of GL[subscript n](R) -- _tCongruence Subgroups of SL[subscript n](R) -- _tMennicke Symbols -- _tRelations Among Matrices: K[subscript 2. -- _tK[subscript 2.(R) and Steinberg Symbols -- _tDefinition and Properties of K[subscript 2.(R) -- _tElements of St(R) and K[subscript 2.(R) -- _tExact Sequences -- _tThe Relative Sequence -- _tExcision and the Mayer-Vietoris Sequence -- _tThe Localization Sequence -- _tUniversal Algebras -- _tPresentation of Algebras -- _tGraded Rings -- _tThe Tensor Algebra -- _tSymmetric and Exterior Algebras -- _tThe Milnor Ring -- _tTame Symbols -- _tNorms on Milnor K-Theory -- _tMatsumoto's Theorem -- _tSources of K[subscript 2. -- _tSymbols in Arithmetic -- _tHilbert Symbols -- _tMetric Completion of Fields -- _tThe p-Adic Numbers and Quadratic Reciprocity -- _tLocal Fields and Norm Residue Symbols -- _tBrauer Groups -- _tThe Brauer Group of a Field -- _tSplitting Fields -- _tTwisted Group Rings -- _tThe K[subscript 2. Connection -- _tA Sets, Classes, Functions -- _tChain Conditions, Composition Series
530			_a2 _ub
650		0	_aK-theory.
650		4	_aK-theory.
655		1	_aElectronic Books.
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569371&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hQA. _m2002 _QOL _R _x _8NFIC _2LOC
994			_a92 _bNT
999			_c98127 _d98127
902			_a1 _bCynthia Snell _c1 _dCynthia Snell