16-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to associative rings and algebras 30
16-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras 354
16-02 Research exposition (monographs, survey articles) pertaining to associative rings and algebras 714
16-03 History of associative rings and algebras [Consider also classification numbers from Section 01-XX] 127
16B50 Category-theoretic methods and results in associative algebras (except as in 16D90) [See also 18-XX] 636
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) 4218
16D90 Module categories in associative algebras [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality 3771
16Exx Homological methods in associative algebras {For commutative rings, see 13Dxx; for general categories, see 18Gxx} 12406
16E65 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 886
16Hxx Associative algebras and orders {For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30} 2479
16Pxx Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras 8874
16P10 Finite rings and finite-dimensional associative algebras {For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx} 2976
16P60 Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension (associative rings and algebras) 1876
16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) 689
16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) 1029
16S34 Group rings [See also 20C05, 20C07], Laurent polynomial rings (associative algebraic aspects) 5001
16S90 Torsion theories; radicals on module categories (associative algebraic aspects) [See also 13D30, 18E40] {For radicals of rings, see 16Nxx} 1625
16W10 Rings with involution; Lie, Jordan and other nonassociative structures [See also 17B60, 17C50, 46Kxx] 2857
16W55 “Super” (or “skew”) structure [See also 17A70, 17Bxx, 17C70] {For exterior algebras, see 15A75; for Clifford algebras, see 11E88, 15A66} 448
16W60 Valuations, completions, formal power series and related constructions (associative rings and algebras) [See also 13Jxx] 1485