Extended plus closure and colon-capturing

DOI10.1016/j.jalgebra.2005.03.002zbMath1092.13033OpenAlexW2088954308MaRDI QIDQ2575720

Raymond C. Heitmann

Publication date: 6 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.03.002

zbMATH Keywords

excellent ringmixed characteristiccolon-capturing propertyextended plus closure

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Local cohomology and commutative rings (13D45) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Cohen-Macaulay modules (13C14)

Related Items (6)

A sufficient condition for the almost Cohen–Macaulayness of the absolute integral closure in dimension 4 ⋮ Content of local cohomology, parameter ideals, and robust algebras ⋮ A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Regular rings and perfect(oid) algebras ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Homological properties of the perfect and absolute integral closures of noetherian domains

Cites Work

• Unnamed Item
• Infinite integral extensions and big Cohen-Macaulay algebras
• Über die Annulatoren lokaler Kohomologiegruppen
• The plus closure in mixed characteristic
• The direct summand conjecture in dimension three.
• Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem.
• Extensions of plus closure

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