Gorenstein Injective Envelopes of Artinian Modules

DOI10.1080/00927872.2013.820734zbMath1338.13026arXiv1306.4452OpenAlexW1975769478MaRDI QIDQ5495269

Kamran Divaani-Aazar, Massoumeh Nikkhah Babaei

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1306.4452

zbMATH Keywords

Gorenstein projective moduleGorenstein injective moduleGorenstein injective dimensionHenselian ringinjective coverGorenstein injective envelopeGorenstein injective cover

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (1)

Auslander-Reiten conjecture in a dual vein

Cites Work

• Vanishing of the top local cohomology modules over noetherian rings
• Transfer of Gorenstein dimensions along ring homomorphisms
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• On the category of modules of Gorenstein dimension zero. II
• On the category of modules of Gorenstein dimension zero
• Gorenstein injectivity of the section functor
• The Gorenstein Injective Envelope of the Residue Field of a Local Ring
• Ascent Properties of Auslander Categories
• Artinian modules over commutative rings
• the stable derived category of a noetherian scheme

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