Gorenstein Homological Dimension with Respect to a Semidualizing Module and a Generalization of a Theorem of Bass

DOI10.1080/00927872.2012.717654zbMath1291.13026OpenAlexW2064714450MaRDI QIDQ5412069

Siamak Yassemi, Maryam Salimi, Elham Tavasoli

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.717654

zbMATH Keywords

Auslander classesprecoverpreenvelopeBass classes\(G_C\)-injective\(G_C\)-projetivesemidualizung

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Homological dimension (category-theoretic aspects) (18G20)

Related Items (2)

Relative weak injective and weak flat modules with respect to a semidualizing module ⋮ Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module

Cites Work

• AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
• Gorenstein projective dimension with respect to a semidualizing module
• Semi-dualizing modules and related Gorenstein homological dimensions
• Idealization of a module
• Cotorsion pairs associated with Auslander categories
• Semi-dualizing complexes and their Auslander categories
• A Generalization of a Theorem of Bass
• Finiteness of Gorenstein injective dimension of modules
• Ring Homomorphisms and Finite Gorenstein Dimension
• Homological aspects of semidualizing modules
• Stability of Gorenstein categories

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