## Mathematics Subject Classification – MSC2010

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

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

Research exposition (monographs, survey articles) 621

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 3165

Homological functors on modules (Tor, Ext, etc.) 1476

(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc. (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 1724

Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 549

Representation type (finite, tame, wild, etc.) 1590

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers 1341

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 2111

Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx] 2774

Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension 1766

Other kinds of identities (generalized polynomial, rational, involution) 967

Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) 848

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) 623

Torsion theories; radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx] 1450

Center, normalizer (invariant elements) 1557