Skew-polynomial rings of frobenius type and the theory of tight closure

DOI10.1080/00927879408824972zbMath0805.16027OpenAlexW2011525191MaRDI QIDQ4293752

Yuji Yoshino

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408824972

zbMATH Keywords

tight closurelocalisationrational singularitiesFrobeniusOre extensionperfect closuregraded left idealsskew Laurent polynomialweak \(F\)- regularity

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Integral closure of commutative rings and ideals (13B22) Ideals in associative algebras (16D25)

Related Items (8)

Counting skew monomials in the Frobenius skew polynomial ring ⋮ Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure ⋮ Adjunction ofpth Roots to Dedekind Domains and Injective Modules ⋮ Some extensions of Hilbert-Kunz multiplicity ⋮ Frobenius line invariance of algebraic 𝐾-theory ⋮ A Koszul complex over skew polynomial rings ⋮ Right and left modules over the Frobenius skew polynomial ring in theF-finite case ⋮ On the Graded Annihilators of Right Modules Over the Frobenius Skew Polynomial Ring

Cites Work

• Canonical elements in local cohomology modules and the direct summand conjecture
• Characterizations of Regular Local Rings of Characteristic p

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