13Dxx

 13C | 13 | 13E

Homological methods

{For noncommutative rings, see 16Exx; for general categories, see 18Gxx}

13D02Syzygies and resolutions
13D03(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
13D05Homological dimension
13D07Homological functors on modules (Tor, Ext, etc.)
13D10Deformations and infinitesimal methods
[See also 14B10, 14B12, 14D15, 32Gxx]
13D15Grothendieck groups, K-theory
[See also 14C35, 18F30, 19Axx, 19D50]
13D22Homological conjectures (intersection theorems)
13D25Complexes
13D30Torsion theory
[See also 13C12, 18E40]
13D40Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
13D45Local cohomology
[See also 14B15]
13D99None of the above, but in this section