內容簡介
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This moderapproach to homological algebra, by two leading writers ithe field, is based othe systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. Imost cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to leara moderapproach to homological algebra and to use it itheir work. For the second editiothe authors have made numerous corrections.