Chains of semidualizing modules

DOI10.1142/S0219498818501189zbMath1390.13046arXiv1611.05790OpenAlexW2555897463MaRDI QIDQ4566052

E. Amanzadeh

Publication date: 14 June 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05790

zbMATH Keywords

semidualizingBass numberTor-independentsuitable chain

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

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• Presentations of rings with non-trivial semidualizing modules
• Semi-dualizing modules and related Gorenstein homological dimensions
• On the structure of the set of semidualizing complexes
• Semidualizing modules and the divisor class group
• On the growth of the Betti sequence of the canonical module
• Semi-dualizing complexes and their Auslander categories
• Lower bounds for the number of semidualizing complexes over a local ring
• Rings that are Homologically of Minimal Multiplicity
• Gorenstein Modules and Related Modules.
• Growth in the minimal injective resolution of a local ring
• Reflexivity and Ring Homomorphisms of Finite Flat Dimension
• Bass Numbers and Semidualizing Complexes
• Ring Homomorphisms and Finite Gorenstein Dimension
• Presentations of rings with a chain of semidualizing modules
• The Converse to a Theorem of Sharp on Gorenstein Modules
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†

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