The balance of relative Ext groups defined by semidualizing modules

DOI10.1142/S0219498823502262zbMath1525.13011arXiv2206.09201MaRDI QIDQ6070441

Kosar Abolfath Beigi, Massoud Tousi, Kamran Divaani-Aazar

Publication date: 21 November 2023

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

Full work available at URL: https://arxiv.org/abs/2206.09201

zbMATH Keywords

Auslander classessemidualizing modulesdualizing modules\(C\)-injective modulesBass classes\(C\)-flat modules\(C\)-projective modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

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• Comparison of relative cohomology theories with respect to semidualizing modules
• Foxby equivalence over associative rings.
• Flat covers of modules
• Semidualizing modules and the divisor class group
• Cotorsion pairs associated with Auslander categories
• Gorenstein Modules and Related Modules.
• Homological aspects of semidualizing modules
• Envelopes and covers by modules of finite injective and projective dimensions

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