Strongly torsion free, copure flat and Matlis reflexive modules

DOI10.1016/j.jpaa.2004.01.010zbMath1087.13004OpenAlexW2083202480MaRDI QIDQ1878427

Reza Sazeedeh

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.01.010

zbMATH Keywords

Cohen-Macaulay ringflat modulecotorsion module

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Cohen-Macaulay modules (13C14) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (15)

On Copure Projective Modules and Copure Projective Dimensions ⋮ On Gorenstein injectivity of top local cohomology modules ⋮ Onn-FI-Injective andn-FI-Flat Modules ⋮ Ω-Gorenstein Projective, Injective and Flat Modules ⋮ Weak-Injective Modules of Weak Dimension at Most One ⋮ Relative copure injective and copure flat modules. ⋮ Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module ⋮ On GI-Injective Modules ⋮ \(h\)-divisible modules over integral domains ⋮ A note on the Matlis category equivalence ⋮ Gorenstein injectivity of the section functor ⋮ C-Gorenstein projective, injective and flat modules ⋮ On Strongly Copure Flat Modules and Copure Flat Dimensions ⋮ Unnamed Item ⋮ \(n\)-copure projective modules.

Cites Work

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• The higher properties of R-sequences
• Restricted homological dimensions and Cohen-Macaulayness
• Flat covers of modules
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• The homological theory of maximal Cohen-Macaulay approximations
• Flat Covers and Flat Cotorsion Modules
• Artinian modules over commutative rings
• Some change of ring theorems for matlis reflexive modules
• On homological dimensions
• Finiteness properties for matlis reflexive modules

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