## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 28

Instructional exposition (textbooks, tutorial papers, etc.) 271

Research exposition (monographs, survey articles) 575

Explicit machine computation and programs (not the theory of computation or programming) 54

Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality 2953

Homological functors on modules (Tor, Ext, etc.) 1292

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 1500

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 391

Representation type (finite, tame, wild, etc.) 1468

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers 1192

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 2057

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx] 2685

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension 1680

Other kinds of identities (generalized polynomial, rational, involution) 859

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) 785

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) 558

Torsion theories; radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx] 1392

Center, normalizer (invariant elements) 1508