-
16-00
General reference works (handbooks, dictionaries, bibliographies, etc.)
-
16-01
Instructional exposition (textbooks, tutorial papers, etc.)
-
16-02
Research exposition (monographs, survey articles)
-
16-03
Historical (must also be assigned at least one classification number from Section 01)
-
16-04
Explicit machine computation and programs (not the theory of computation or programming)
-
16-06
Proceedings, conferences, collections, etc.
-
16-99
None of the above but in this section
-
(+2)
General and miscellaneous
-
(+14)
Modules, bimodules and ideals
-
(+22)
Homological methods
{For commutative rings, see
13Dxx; for general categories, see
18Gxx}
-
(+26)
Representation theory of rings and algebras
-
(+4)
Algebras and orders
{For arithmetic aspects, see
11R52,
11R54,
11S45; for representation theory, see
16G30}
-
(+10)
Division rings and semisimple Artin rings
[See also
12E15,
15A30]
-
(+2)
Local rings and generalizations
-
(+4)
Radicals and radical properties of rings
-
(+16)
Chain conditions, growth conditions, and other forms of finiteness
-
(+2)
Rings with polynomial identity
-
(+47)
Rings and algebras arising under various constructions
-
(+24)
Hopf algebras, quantum groups and related topics
-
(+6)
Conditions on elements
-
(+23)
Rings and algebras with additional structure
-
(+14)
Generalizations
{For nonassociative rings, see
17-XX}
-
(+4)
Computational aspects of associative rings