Some criteria for the Cohen-Macaulay property and local cohomology

DOI10.1007/S10114-009-7418-YzbMath1183.13025OpenAlexW2396158370MaRDI QIDQ1034315

Amir Mafi

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7418-y

zbMATH Keywords

local cohomology modulesGorenstein flat modulesfilter regular sequencesCohen Macaulay rings

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (3)

Co-Cohen-Macaulay modules and local cohomology ⋮ About a Serre-type condition for modules ⋮ On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals

Uses Software

• Macaulay2

Cites Work

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• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Approximately Cohen-Macaulay rings
• Gorenstein homological dimensions.
• On birational Macaulayfications and Cohen-Macaulay canonical modules
• Some applications of a criterion for Artinianness of a module
• Relative homological algebra
• Some results on local cohomology modules
• The f-depth of an ideal on a module
• Verallgemeinerte COHEN-MACAULAY-Moduln
• ON THE MINIMAL FLAT RESOLUTIONS OF MODULES
• On the De Rham cohomology of algebraic varieties

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