A less restrictive Briançon-Skoda theorem with coefficients

DOI10.1016/j.jalgebra.2011.08.016zbMath1271.13008arXiv1010.1062OpenAlexW2073073663MaRDI QIDQ408502

Aline Hosry, Ian M. Aberbach

Publication date: 10 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1062

zbMATH Keywords

F-rational ringintegral closureBriançon-Skoda Theorem

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)

Cites Work

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• Tight closure in F-rational rings
• Test ideals and base change problems in tight closure theory
• A theorem of Briançon-Skoda type for regular local rings containing a field
• F-rational rings and the integral closures of ideals