Tight closure in non-equidimensional rings

DOI10.1080/00927879808826388zbMath0931.13003arXivmath/0209236OpenAlexW2028637081MaRDI QIDQ4224007

Anurag K. Singh

Publication date: 23 February 2000

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

Full work available at URL: https://arxiv.org/abs/math/0209236

zbMATH Keywords

Cohen-Macaulay ringcharacteristic \(p\)tight closureF-rational ringsystem of parameterscolon-capturing propertyNE-closurenon-equidimensional rings

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Cohen-Macaulay modules (13C14)

Cites Work

• Tight closure of parameter ideals
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• F-Regularity, Test Elements, and Smooth Base Change

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