02638nam 2200613 450 99646666540331620220304103809.03-540-35917-610.1007/BFb0080281(CKB)1000000000438721(SSID)ssj0000321119(PQKBManifestationID)12083767(PQKBTitleCode)TC0000321119(PQKBWorkID)10263825(PQKB)10465310(DE-He213)978-3-540-35917-3(MiAaPQ)EBC5586123(Au-PeEL)EBL5586123(OCoLC)1066193916(MiAaPQ)EBC6842740(Au-PeEL)EBL6842740(OCoLC)1292358710(PPN)155231995(EXLCZ)99100000000043872120220304d1968 uy 0engurnn|008mamaatxtccrAlgebraic K-theory /Richard G. Swan1st ed. 1968.Berlin, Germany ;New York, New York :Springer,[1968]©19681 online resource (IV, 264 p.) Lecture Notes in Mathematics,0075-8434 ;76Bibliographic Level Mode of Issuance: Monograph3-540-04245-8 Category 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.From 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.".Lecture Notes in Mathematics,0075-8434 ;76K-theoryCategories (Mathematics)K-theory.Categories (Mathematics)512.89Swan Richard G.441340MiAaPQMiAaPQMiAaPQBOOK996466665403316Algebraic K-theory83165UNISA