16XX 


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

16Pxx 

Chain conditions, growth conditions, and other forms of finiteness 


16P10 
Finite rings and finitedimensional algebras {For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx} 


16P20 
Artinian rings and modules 


16P40 
Noetherian rings and modules 


16P50 
Localization and Noetherian rings [See also 16U20] 


16P60 
Chain conditions on annihilators and summands: Goldietype conditions [See also 16U20], Krull dimension 


16P70 
Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence 


16P90 
Growth rate, GelfandKirillov dimension 


16P99 
None of the above, but in this section 