18-XX Category theory; homological algebra {For commutative rings, see 13Dxx; for associative rings, see 16Exx; for groups, see 20Jxx; for topological groups and related structures, see 57Txx; for algebraic topology, see also 55Nxx, 55Uxx} 29270

18Gxx Homological algebra in category theory, derived categories and functors [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] 6547

18G05 Projectives and injectives (category-theoretic aspects) [See also 13C10, 13C11, 16D40, 16D50] 551

18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) [See also 55U25] 716

18G70 \(A_{\infty}\)-categories, relations with homological mirror symmetry [See also 14F08, 14J33, 53D37] 15

18G90 Other (co)homology theories (category-theoretic aspects) [See also 19D55, 46L80, 58J20, 58J22] 21