13XX 


Commutative rings and algebras 

13Dxx 

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


13D02 
Syzygies and resolutions 


13D03 
(Co)homology of commutative rings and algebras (e.g., Hochschild, AndrĂ©Quillen, cyclic, dihedral, etc.) 


13D05 
Homological dimension 


13D07 
Homological functors on modules (Tor, Ext, etc.) 


13D10 
Deformations and infinitesimal methods [See also 14B10, 14B12, 14D15, 32Gxx] 


13D15 
Grothendieck groups, $K$theory [See also 14C35, 18F30, 19Axx, 19D50] 


13D22 
Homological conjectures (intersection theorems) 


13D25 
Complexes 


13D30 
Torsion theory [See also 13C12, 18E40] 


13D40 
HilbertSamuel and HilbertKunz functions; PoincarĂ© series 


13D45 
Local cohomology [See also 14B15] 


13D99 
None of the above, but in this section 