Relative copure modules and Foxby equivalence

DOI10.1080/00927872.2021.1892710zbMath1470.13027OpenAlexW3134431801MaRDI QIDQ5153785

Zhen Zhang, Jiaqun Wei

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1892710

zbMATH Keywords

semidualizing moduleAuslander classFoxby equivalencecopure injective module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

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• Relative tor functors for level modules with respect to a semidualizing bimodule
• Gorenstein projective dimension with respect to a semidualizing module
• Tate cohomology with respect to semidualizing modules
• Semi-dualizing modules and related Gorenstein homological dimensions
• Cotorsion pairs induced by duality pairs
• Relative copure injective and copure flat modules.
• Foxby equivalence over associative rings.
• Injective and flat covers, envelopes and resolvents
• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• Gorenstein Modules and Related Modules.
• COPURE INJECTIVE MODULES
• Gorenstein homological dimensions with respect to a semidualizing module
• Foxby equivalence relative to $C$-weak injective and $C$-weak flat modules
• The existence of Gorenstein flat covers
• On copure flat modules and flat resolvents
• Gorenstein Projective Dimension Relative to a Semidualizing Bimodule
• Homological aspects of semidualizing modules

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