\(\mathfrak{m}\)-full and basically full ideals in rings of characteristic \(p\)

DOI10.1216/RMJ-2014-44-2-691zbMath1308.13009OpenAlexW2088969275MaRDI QIDQ404506

Janet C. Vassilev

Publication date: 4 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1407154920

zbMATH Keywords

tight closureintegral closurebasically full idealsm-full ideals

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (2)

Nakayama closures, interior operations, and core-hull duality -- with applications to tight closure theory ⋮ Integral closure, basically full closure, and duals of nonresidual closure operations

Cites Work

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• When is tight closure determined by the test ideal?
• Integrally closed almost complete intersection ideals
• Integral closedness of complete-intersection ideals
• Tight closure and strong test ideals
• Basically full ideals in local rings.
• Full Ideals
• m-full ideals
• Test ideals in quotients of $F$-finite regular local rings
• Finite homological dimension and primes associated to integrally closed ideals
• Test Ideals in Local Rings
• The strong test ideal
• Strong test ideals

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