Almost regular sequences and the monomial conjecture

DOI10.1307/mmj/1220879428zbMath1173.13311OpenAlexW2095450312WikidataQ122904418 ScholiaQ122904418MaRDI QIDQ841558

Paul C. Roberts

Publication date: 17 September 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1220879428

Mathematics Subject Classification ID

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

Related Items (5)

A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Almost Cohen-Macaulay and almost regular algebras via almost flat extensions ⋮ Unnamed Item ⋮ Almost direct summands ⋮ On the notion of Cohen-Macaulayness for non-Noetherian rings

Cites Work

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• Tight closure and elements of small order in integral extensions
• Absolute integral closure in positive characteristic
• Infinite integral extensions and big Cohen-Macaulay algebras
• On graded rings. I
• The plus closure in mixed characteristic
• Almost ring theory
• The direct summand conjecture in dimension three.
• Canonical elements in local cohomology modules and the direct summand conjecture
• Annihilators of local cohomology in characteristic zero
• Two applications of dualizing complexes over local rings

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