The cl-core of an ideal

DOI10.1017/S0305004110000204zbMath1200.13009arXiv0810.3033OpenAlexW1981041657MaRDI QIDQ3586280

Janet C. Vassilev, Louiza Fouli

Publication date: 6 September 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3033

zbMATH Keywords

tight closure\(*\)-spread\(*\)-core\(*\)-reductionnoetherian local ring of characteristic \(p >0\)one-dimensional semigroup ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Excellent rings (13F40)

Related Items (4)

Reductions and special parts of closures ⋮ A formula for the *-core of an ideal ⋮ 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

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