## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 584

Research exposition (monographs, survey articles) 356

Explicit machine computation and programs (not the theory of computation or programming) 229

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 932

Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure [See also 13B22] 720

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

Dimension theory, depth, related rings (catenary, etc.) 1323

(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.) 948

Homological functors on modules (Tor, Ext, etc.) 481

Homological conjectures (intersection theorems) 87

Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05] 736

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) 2945

Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) 243