16XX 


Associative rings and algebras {For the commutative case, see 13XX} 

16Exx 

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


16E05 
Syzygies, resolutions, complexes 


16E10 
Homological dimension 


16E20 
Grothendieck groups, $K$theory, etc. [See also 18F30, 19Axx, 19D50] 


16E30 
Homological functors on modules (Tor, Ext, etc.) 


16E40 
(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 


16E45 
Differential graded algebras and applications 


16E50 
von Neumann regular rings and generalizations 


16E60 
Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. 


16E65 
Homological conditions on rings (generalizations of regular, Gorenstein, CohenMacaulay rings, etc.) 


16E99 
None of the above, but in this section 