When Are Covers Relative to Two Classes Isomorphic

DOI10.1080/00927870903431233zbMath1215.16003OpenAlexW2047523864MaRDI QIDQ3079310

Dexu Zhou

Publication date: 2 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903431233

zbMATH Keywords

projective modulesflat coversprojective coversenvelopesinjective modulescovering modulesclasses of right modulesepimorphic covers

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30)

Cites Work

• Cotorsion pair extensions.
• Injective and flat covers, envelopes and resolvents
• Rings which have flat injective modules
• Relative coherence and preenvelopes
• Covers induced by Ext
• Flat covers of modules
• ALL MODULES HAVE FLAT COVERS
• Rings Over Which Flat Covers of Finitely Generated Modules are Projective
• Envelopes and Covers Over Pullback-Pushout Diagrams
• Rings Characterized by a Class of Modules

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