## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 596

Research exposition (monographs, survey articles) 371

Explicit machine computation and programs (not the theory of computation or programming) 233

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 957

Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure [See also 13B22] 750

Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.) 801

Dimension theory, depth, related rings (catenary, etc.) 1337

(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.) 956

Homological functors on modules (Tor, Ext, etc.) 504

Homological conjectures (intersection theorems) 96

Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05] 751

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) 3051

Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) 263