## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 11

Instructional exposition (textbooks, tutorial papers, etc.) 586

Research exposition (monographs, survey articles) 359

Explicit machine computation and programs (not the theory of computation or programming) 228

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 933

Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure [See also 13B22] 721

Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.) 790

Dimension theory, depth, related rings (catenary, etc.) 1324

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc. (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) 949

Homological functors on modules (Tor, Ext, etc.) 482

Homological conjectures (intersection theorems) 88

Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05] 741

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) 2958

Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) 245