Canonical elements in local cohomology modules and the direct summand conjecture

Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay

Melvin Hochster, Joel Roberts · Advances in Mathematics · 1974 · 400 citations

Abstract Algebra, Regular Rings, Representation Theory +3

Projective Modules

Irving Kaplansky · Annals of Mathematics · 1958 · 288 citations

The purity of the Frobenius and local cohomology

Melvin Hochster, Joel Roberts · Advances in Mathematics · 1976 · 237 citations

Schubert Calculus, Local Cohomology

Modules over unramified regular local rings

Maurice Auslander · Illinois Journal of Mathematics · 1961 · 188 citations

Schubert Calculus, Ring Theory, Commutative Algebra +4

The Syzygy Problem

E. Graham Evans, Phillip Griffith · Annals of Mathematics · 1981 · 155 citations

Symbolic Technique, Syzygy Problem, Symbiosis +1