GORENSTEIN PROJECTIVE DIMENSIONS OF COMPLEXES UNDER BASE CHANGE WITH RESPECT TO A SEMIDUALIZING MODULE

DOI10.4134/BKMS.b200368zbMath1468.13047OpenAlexW3151439262MaRDI QIDQ4991396

Chun-Xia Zhang

Publication date: 3 June 2021

Full work available at URL: https://koreascience.or.kr/article/JAKO202112354514160.page

zbMATH Keywords

ring homomorphism\(G_C\)-projective dimension\(G_C\)-projective modulesemidualizing moduledepth of complex

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Commutative Noetherian rings and modules (13E05)

Cites Work

• Gorenstein projective dimension with respect to a semidualizing module
• Semi-dualizing modules and related Gorenstein homological dimensions
• Transfer of Gorenstein dimensions along ring homomorphisms
• Foxby equivalence over associative rings.
• Reflexive modules with finite Gorenstein dimension with respect to a semidualizing module
• Semi-dualizing complexes and their Auslander categories
• Multiplicities of Semidualizing Modules
• Gorenstein local homomorphisms
• Ascent Properties of Auslander Categories
• Ring Homomorphisms and Finite Gorenstein Dimension
• TRANSFER PROPERTIES OF GORENSTEIN HOMOLOGICAL DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE
• Homological aspects of semidualizing modules
• Gorenstein Dimensions over Ring Homomorphisms
• Gorenstein Homological Dimensions of Complexes with Respect to a Semidualizing Module
• Transfer of Gorenstein Dimensions of Unbounded Complexes Along Ring Homomorphisms
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