On the localization theorem for \(F\)-pure rings

DOI10.1016/j.jpaa.2008.11.047zbMath1177.13014arXiv0710.3782OpenAlexW2963607571MaRDI QIDQ1008762

Wenliang Zhang, Kazuma Shimomoto

Publication date: 30 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3782

zbMATH Keywords

\(F\)-pure ringsGrothendieck's localization problemRadu-Andre homomorphismRadu-Andre ring

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (2)

A uniform treatment of Grothendieck's localization problem ⋮ On the semicontinuity problem of fibers and globalF-regularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tight closure does not commute with localization
• On ideal-adic completion of Noetherian rings
• The purity of the Frobenius and local cohomology
• Tight closure of parameter ideals
• Cohen-Macaulay properties of ring homomorphisms
• Almost ring theory
• On the behavior of F-rational rings under flat base change
• Localisation de la lissite formelle
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• On arithmetic Macaulayfication of Noetherian rings
• F-Purity and Rational Singularity
• On Noetherian Rings of Characteristic p
• Joins and Intersections
• Reducedness, formal smoothness and approximation in characteristic p
• On Macaulayfication of Noetherian schemes

This page was built for publication: On the localization theorem for \(F\)-pure rings