13XX 


Commutative rings and algebras 


1300 
General reference works (handbooks, dictionaries, bibliographies, etc.) 


1301 
Instructional exposition (textbooks, tutorial papers, etc.) 


1302 
Research exposition (monographs, survey articles) 


1303 
Historical (must also be assigned at least one classification number from Section 01) 


1304 
Explicit machine computation and programs (not the theory of computation or programming) 


1306 
Proceedings, conferences, collections, etc. 

13Axx 

General commutative ring theory 

13Bxx 

Ring extensions and related topics 

13Cxx 

Theory of modules and ideals 

13Dxx 

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

13Exx 

Chain conditions, finiteness conditions 

13Fxx 

Arithmetic rings and other special rings 


13G05 
Integral domains 

13Hxx 

Local rings and semilocal rings 

13Jxx 

Topological rings and modules [See also 16W60, 16W80] 


13K05 
Witt vectors and related rings 


13L05 
Applications of logic to commutative algebra [See also 03Cxx, 03Hxx] 

13Mxx 

Finite commutative rings {For numbertheoretic aspects, see 11Txx} 

13Nxx 

Differential algebra [See also 12H05, 14F10] 

13Pxx 

Computational aspects of commutative algebra [See also 68W30] 