All Modules Have Gorenstein Flat Precovers

DOI10.1080/00927872.2013.780064zbMath1325.16005arXiv1409.5814OpenAlexW1982660319MaRDI QIDQ5417964

Gang Yang, Li Liang

Publication date: 23 May 2014

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

Full work available at URL: https://arxiv.org/abs/1409.5814

zbMATH Keywords

precoverscotorsion pairsGorenstein flat modulesinjective right modulesGorenstein flat covers

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Resolutions; derived functors (category-theoretic aspects) (18G10) Projectives and injectives (category-theoretic aspects) (18G05) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (14)

Cotorsion pairs and Cartan-Eilenberg categories ⋮ Relative left derived functors of tensor product functors ⋮ Triangulated equivalence between a homotopy category and a triangulated quotient category ⋮ Totally acyclic complexes ⋮ Notes on Gorenstein flat modules ⋮ The flat stable module category of a coherent ring ⋮ OnX-Gorenstein projective dimensions and precovers ⋮ Gorenstein flat phantom morphisms ⋮ Tate homology with respect to cotorsion pairs ⋮ On the existence of Gorenstein projective precovers ⋮ Relative stable (co)homology ⋮ Another Gorenstein analogue of flat modules ⋮ A Zariski-local notion of F-total acyclicity for complexes of sheaves ⋮ FP-injective dimensions and Gorenstein homology

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