## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.)
30

Instructional exposition (textbooks, tutorial papers, etc.)
284

Research exposition (monographs, survey articles)
610

Explicit machine computation and programs (not the theory of computation or programming)
58

Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality
3124

Homological functors on modules (Tor, Ext, etc.)
1448

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
1679

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
516

Representation type (finite, tame, wild, etc.)
1574

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
1318

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
2100

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx]
2757

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
1753

Other kinds of identities (generalized polynomial, rational, involution)
953

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
835

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
614

Torsion theories; radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx]
1441

Center, normalizer (invariant elements)
1552