16Exx

16D | 16 | 16G

Homological methods

{For commutative rings, see 13Dxx; for general categories, see 18Gxx }

16E05Syzygies, resolutions, complexes
16E10Homological dimension
16E20Grothendieck groups, K-theory, etc.
[See also 18F30, 19Axx, 19D50]
16E30Homological functors on modules (Tor, Ext, etc.)
16E40(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
16E45Differential graded algebras and applications
16E50von Neumann regular rings and generalizations
16E60Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc.
16E65Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
16E99None of the above, but in this section