## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 289

Research exposition (monographs, survey articles) 623

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 3174

Homological functors on modules (Tor, Ext, etc.) 1483

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 1735

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 555

Representation type (finite, tame, wild, etc.) 1596

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers 1343

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 2115

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx] 2775

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension 1768

Other kinds of identities (generalized polynomial, rational, involution) 972

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) 852

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) 627

Torsion theories; radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx] 1449

Center, normalizer (invariant elements) 1557