SEMIDUALIZING MODULES AND RELATED MODULES

DOI10.1142/S0219498811005695zbMath1254.16003MaRDI QIDQ3117925

Baiyu Ouyang, Dongdong Zhang

Publication date: 1 March 2012

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

zbMATH Keywords

semidualizing modulesright coherent ringsleft perfect ringsBass classesflat preenvelopes\(C\)-FP-injective modules\(C\)-flat modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Noncommutative local and semilocal rings, perfect rings (16L30) Bimodules in associative algebras (16D20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (max. 100)

Relative tor functors for level modules with respect to a semidualizing bimodule ⋮ FP_n-injective and FP_n-flat modules with respect to a semidualizing bimodule ⋮ Cotorsion dimensions relative to semidualizing modules ⋮ On Balance for Relative Homology ⋮ Envelopes, covers and semidualizing modules ⋮ WEAK AB-CONTEXT FOR FP-INJECTIVE MODULES WITH RESPECT TO SEMIDUALIZING MODULES

Cites Work

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• Coflat rings and modules
• Foxby equivalence over associative rings.
• Gorenstein cohomology in abelian categories
• Relative coherence and preenvelopes
• Gorenstein dimensions
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Gorenstein Modules and Related Modules.
• Reflexivity and Ring Homomorphisms of Finite Flat Dimension
• Onn-Coherent rings
• Foxby duality and Gorenstein injective and projective modules
• Relative Projective Modules and Relative Injective Modules
• Character modules, dimension and purity

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