## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 295

Research exposition (monographs, survey articles) 630

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 3235

Homological functors on modules (Tor, Ext, etc.) 1532

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 1807

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 599

Representation type (finite, tame, wild, etc.) 1626

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers 1385

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 2136

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx] 2797

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension 1784

Other kinds of identities (generalized polynomial, rational, involution) 991

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) 876

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) 646

Torsion theories; radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx] 1456

Center, normalizer (invariant elements) 1562