Algebraic K-theory / / Richard G. Swan

• Autore: Swan Richard G.
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer, , [1968]; ©1968
• Edizione: 1st ed. 1968.
• Descrizione fisica: 1 online resource (IV, 264 p.)
• Disciplina: 512.89
• Soggetto topico: K-theory; Categories (Mathematics)
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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.
• Sommario/riassunto: 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.".
• Titolo autorizzato: Algebraic K-theory
• ISBN: 3-540-35917-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466665403316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 76