Tight closure in F-rational rings

DOI10.1017/S0027763000004943zbMath0804.13003MaRDI QIDQ4313387

Ian M. Aberbach

Publication date: 16 November 1994

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

projective dimensioncharacteristic \(p\)tight closure\(F\)-rational local ringexcellent local domains

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Finite homological dimension and primes associated to integrally closed ideals, Finite Tor dimension and failure of coherence in absolute integral closures, A less restrictive Briançon-Skoda theorem with coefficients, On generalized deformation problems, Tight closure, plus closure and Frobenius closure in cubical cones, Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials, The F-rational signature and drops in the Hilbert-Kunz multiplicity, Test ideals and base change problems in tight closure theory

Cites Work

• Unnamed Item
• Infinite integral extensions and big Cohen-Macaulay algebras
• Tight closure of parameter ideals
• What makes a complex exact?
• Finite Phantom Projective Dimension