## Mathematical Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.)
283

Research exposition (monographs, survey articles)
601

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
3116

Homological functors on modules (Tor, Ext, etc.)
1436

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
1668

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
508

Representation type (finite, tame, wild, etc.)
1568

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
1309

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
2097

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx]
2753

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
1750

Other kinds of identities (generalized polynomial, rational, involution)
947

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
834

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
612

Torsion theories; radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx]
1438

Center, normalizer (invariant elements)
1548