The structure of one-dimensional F-pure rings

DOI10.1016/0021-8693(77)90250-2zbMath0368.13006OpenAlexW2065339486MaRDI QIDQ1242950

Shiro Goto, Kei- ichi Watanabe

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90250-2

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items

Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers ⋮ Upper bound of multiplicity of F-pure rings ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ A connectedness result in positive characteristic ⋮ Semi-log canonical vs \(F\)-pure singularities ⋮ Continuous closure, axes closure, and natural closure ⋮ The Frobenius functor and injective modules ⋮ Test ideals in quotients of $F$-finite regular local rings

Cites Work

• Some remarks on Cohen-Macaulay rings with many zero divisors and an application
• Cohen-Macaulay quotients of polynomial rings
• The purity of the Frobenius and local cohomology
• Local cohomological dimension in characteristic p
• Ringe der Charakteristik p und Frobeniusfunktoren
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Purity and algebraic compactness for modules
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• A Problem on Noetherian Local Rings of Characteristic p