Relative Cohen-Macaulayness and relative unmixedness of bigraded modules

DOI10.1216/JCA-2012-4-4-551zbMath1266.13011arXiv1105.3091OpenAlexW2964242881MaRDI QIDQ1947253

Ahad Rahimi, Maryam Jahangiri

Publication date: 22 April 2013

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

Full work available at URL: https://arxiv.org/abs/1105.3091

zbMATH Keywords

relatively Cohen-Macaulayrelatively unmixedStanley-Reisner rings, bigraded rings

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (6)

On Injective and Gorenstein Injective Dimensions of Local Cohomology Modules ⋮ Dualities and equivalences of the category of relative Cohen-Macaulay modules ⋮ Sequentially generalized Cohen–Macaulayness of bigraded modules ⋮ Maximal depth property of bigraded modules ⋮ Cohomological dimension and relative Cohen-Maculayness ⋮ Tameness and Artinianness of Graded Generalized Local Cohomology Modules

Cites Work

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• The eventual stability of depth, associated primes and cohomology of a graded module
• Simplicial join via tensor product
• Relative Cohen-Macaulayness of bigraded modules
• Cofinite modules and local cohomology
• Tameness of local cohomology of monomial ideals with respect to monomial prime ideals
• On the radical of a monomial ideal
• Asymptotic Behaviour and Artinian Property of Graded Local Cohomology Modules
• Local cohomology modules with infinite dimensional socles
• Finitely Graded Local Cohomology and the Depths of Graded Algebras

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