Algebraic \(K\)-theory. (English) Zbl 0193.34601

Swan, R. G.

Lecture Notes in Mathematics 76. Berlin-Heidelberg-New York: Springer-Verlag, iv, 262 pp. DM 18.00, $ 4.50 (1968).

Reviewer: G. Maxwell

MSC:

19-02	Research exposition (monographs, survey articles) pertaining to \(K\)-theory
16E20	Grothendieck groups, \(K\)-theory, etc.
18Exx	Categorical algebra
18F25	Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
19Axx	Grothendieck groups and \(K_0\)
19Bxx	Whitehead groups and \(K_1\)
19Cxx	Steinberg groups and \(K_2\)

Keywords:

P. Gabriel’s thesis; abelian categories; Serre subcategories; algebraic \(K\)-theory; Serre’s theorem; cancellation; Picard group; \(K_0\); \(K_1\); \(K_2\)

Citations:

Zbl 0201.35602; Zbl 0174.30302