Elements of mathematics. Algebra. Chapter 10: Homological algebra. (Ehlementy matematiki. Algebra. Glava 10: Gomologicheskaya algebra). Transl. from the French by E. S. Golod. Ed. by A. I. Kostrikin. (Russian) Zbl 0623.18008

Bourbaki, N.

Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 184 p. (1987).

See the review of the French original (1980) in Zbl 0455.18010.

MSC:

18Gxx	Homological algebra in category theory, derived categories and functors
18E10	Abelian categories, Grothendieck categories
18-02	Research exposition (monographs, survey articles) pertaining to category theory

Keywords:

flat modules; injective modules; complexes of modules; homotopy; split exact sequences; homology; Euler-Poincaré characteristic; resolutions; Tor; Ext; universal coefficient formulas; Grothendieck groups; Brauer groups; homological dimension; Koszul complexes; Hilbert theorem on syzygies; group cohomology; Galois cohomology; Dedekind rings; Prüfer ring; perfect rings; coherent modules; simplicial schemes; double complexes; Lie algebra cohomology

Citations:

Zbl 0455.18010