\(F\)-regular and \(F\)-pure normal graded rings
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Publication:1175539
DOI10.1016/0022-4049(91)90157-WzbMath0738.13005MaRDI QIDQ1175539
Publication date: 25 June 1992
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Frobenius maptight closurelocal cohomologycharacteristic pnormal graded ringWeil divisor\(F\)- pureweakly \(F\)-regular
Integral closure of commutative rings and ideals (13B22) Graded rings (13A02) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
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Cites Work
- The purity of the Frobenius and local cohomology
- Rational singularities, with applications to algebraic surfaces and unique factorization
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- Some remarks concerning Demazure’s construction of normal graded rings
- Cyclic Purity Versus Purity in Excellent Noetherian Rings
- F-Purity and Rational Singularity in Graded Complete Intersection Rings
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