Big tight closure test elements for some non-reduced excellent rings

DOI10.1016/j.jalgebra.2011.08.009zbMath1256.13004arXiv1108.1660OpenAlexW2963261524MaRDI QIDQ420690

Rodney Y. Sharp

Publication date: 23 May 2012

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

Full work available at URL: https://arxiv.org/abs/1108.1660

zbMATH Keywords

Gorenstein ringtight closuretest elementcommutative Noetherian Ringexcellent ringFrobenius homomorphismFrobenius skew polynomial ringgenerically reducedweakly \(F\)-regular ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Regularity and intersections of bracket powers, Extensions of primes, flatness, and intersection flatness, The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change, Tight closure with respect to a multiplicatively closed subset of an \(F\)-pure local ring, On the topological structure of the (non-)finitely generated locus of Frobenius algebras emerging from Stanley–Reisner rings, Graded annihilators and uniformly \(F\)-compatible ideals

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