LEADER 02638nam 2200613 450 001 996466665403316 005 20220304103809.0 010 $a3-540-35917-6 024 7 $a10.1007/BFb0080281 035 $a(CKB)1000000000438721 035 $a(SSID)ssj0000321119 035 $a(PQKBManifestationID)12083767 035 $a(PQKBTitleCode)TC0000321119 035 $a(PQKBWorkID)10263825 035 $a(PQKB)10465310 035 $a(DE-He213)978-3-540-35917-3 035 $a(MiAaPQ)EBC5586123 035 $a(Au-PeEL)EBL5586123 035 $a(OCoLC)1066193916 035 $a(MiAaPQ)EBC6842740 035 $a(Au-PeEL)EBL6842740 035 $a(OCoLC)1292358710 035 $a(PPN)155231995 035 $a(EXLCZ)991000000000438721 100 $a20220304d1968 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebraic K-theory /$fRichard G. Swan 205 $a1st ed. 1968. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[1968] 210 4$dİ1968 215 $a1 online resource (IV, 264 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v76 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-04245-8 327 $aCategory Theory -- Quotient categories -- Definition of KO(A) and some examples -- Krull-Schmidt theorems and applications -- Definition of G(R) and examples -- The connection between KO(R) and GO(R) -- Localization and relation between GO(R) and GO(RS) -- KO of graded rings -- Spec (R) and H(R) -- Picard group and the determinant -- Basic topological remarks -- Chain complexes and the nilpotence of of -- Serre's theorem -- Cancerllation theorems -- K1(A) -- K2(R) -- The exact sequence of Ki's -- Further results on K1 and K0 -- Relations between algebraic and topological K theory. 330 $aFrom the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature.". 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v76 606 $aK-theory 606 $aCategories (Mathematics) 615 0$aK-theory. 615 0$aCategories (Mathematics) 676 $a512.89 700 $aSwan$b Richard G.$0441340 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466665403316 996 $aAlgebraic K-theory$983165 997 $aUNISA