What is a system of parameters?

DOI10.1090/S0002-9939-2011-10790-1zbMath1227.13002arXiv1003.3046MaRDI QIDQ3020352

Louiza Fouli, Craig Huneke

Publication date: 4 August 2011

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

Full work available at URL: https://arxiv.org/abs/1003.3046

zbMATH Keywords

limit closuretight closureplus closurelocal cohomologysystem of parameters

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

On the limit closure of a sequence of elements in local rings ⋮ Bending of Timoshenko beam with effect of crack gap based on equivalent spring model ⋮ Elementary construction of residue currents associated to Cohen–Macaulay ideals ⋮ Reducibility of parameter ideals in low powers of the maximal ideal ⋮ Super-stretched and graded countable Cohen-Macaulay type ⋮ Tight closure of parameter ideals in local rings \(F\)-rational on the punctured spectrum

Cites Work

• Tight closure of parameter ideals
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• The direct summand conjecture in dimension three.
• The equality \(I^2=QI\) in Buchsbaum rings
• Differentielle Eigenschaften der Lokalisierungen analytischer Algebren. (Differential properties of localizations of analytic algebras)
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• A characterization of systems of parameters
• Gorenstein rings and irreducible parameter ideals
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