Characterizing local rings via perfect and coperfect modules

DOI10.1142/S0219498817500669zbMath1364.13009arXiv1510.01845OpenAlexW2964314670MaRDI QIDQ2988759

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Publication date: 19 May 2017

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

Full work available at URL: https://arxiv.org/abs/1510.01845

zbMATH Keywords

semidualizing modulesperfect modulescoperfect modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Quasidualizing modules
• Semi-dualizing modules and related Gorenstein homological dimensions
• Foxby equivalence over associative rings.
• An introduction to homological algebra
• The dual of the grade of a module
• Relative homological algebra
• Semi-dualizing complexes and their Auslander categories
• Gorenstein Modules and Related Modules.
• Isomorphims between complexes with applications to the homological theory of modules.
• Homological aspects of semidualizing modules
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