A sufficient condition for the almost Cohen–Macaulayness of the absolute integral closure in dimension 4

DOI10.1080/00927872.2017.1392539zbMath1392.13005OpenAlexW2766319610MaRDI QIDQ4570926

Ehsan Tavanfar

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1392539

zbMATH Keywords

local cohomologyalmost Cohen-Macaulayabsolute integral closurelinkagequasi-Gorenstein rings

Mathematics Subject Classification ID

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

Related Items (1)

A study of quasi-Gorenstein rings. II: Deformation of quasi-Gorenstein property

Cites Work

• An introduction to homological algebra
• Fontaine rings and local cohomology
• A note on quasi-Gorenstein rings
• Infinite integral extensions and big Cohen-Macaulay algebras
• Reduction of the small Cohen-Macaulay conjecture to excellent unique factorization domains
• Notes on liaison and duality
• The direct summand conjecture in dimension three.
• Almost Cohen-Macaulay and almost regular algebras via almost flat extensions
• Annihilators of local cohomology in characteristic zero
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Extended plus closure and colon-capturing
• On the Structure and Ideal Theory of Complete Local Rings
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