## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.)
287

Research exposition (monographs, survey articles)
611

Explicit machine computation and programs (not the theory of computation or programming)
57

Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality
3134

Homological functors on modules (Tor, Ext, etc.)
1454

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
1699

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
531

Representation type (finite, tame, wild, etc.)
1581

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
1327

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
2105

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx]
2761

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
1755

Other kinds of identities (generalized polynomial, rational, involution)
956

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
839

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
619

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

Center, normalizer (invariant elements)
1553