The plus closure in mixed characteristic

DOI10.1006/jabr.1997.7023zbMath0902.13006OpenAlexW2094153426MaRDI QIDQ1364312

Raymond C. Heitmann

Publication date: 6 December 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7023

zbMATH Keywords

Briançon-Skoda theoremplus closureintegral closuremixed characteristic

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05)

Related Items

Almost regular sequences and the monomial conjecture ⋮ Extended plus closure in complete local rings ⋮ The plus closure of an ideal. ⋮ \(\hat{R^+}\) is surprisingly an integral domain ⋮ Extensions of plus closure ⋮ Extended plus closure and colon-capturing ⋮ The plus closure in degree two extensions ⋮ Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem.

Cites Work

• Unnamed Item
• Infinite integral extensions and big Cohen-Macaulay algebras
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• Applications of the existence of big Cohen-Macaulay algebras
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem