Relative copure injective and copure flat modules.

DOI10.1016/j.jpaa.2006.03.002zbMath1113.16014OpenAlexW2146462344WikidataQ114155534 ScholiaQ114155534MaRDI QIDQ861856

Nan Qing Ding, Li-Xin Mao

Publication date: 2 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.03.002

zbMATH Keywords

homological dimensionscopure flat modulescopure injective modulespre-coverspre-envelopesrelative coversrelative envelopes

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 dimension in associative algebras (16E10)

Related Items

On Copure Projective Modules and Copure Projective Dimensions, Some remarks on Nonnil-coherent rings and ϕ-IF rings, On adjoint resolutions and dimensions of modules, GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES, On GI-Injective Modules, Relative copure modules and Foxby equivalence, On right orthogonal classes and cohomology over Ding-Chen rings, Relative \(FI\)-injective and \(FI\)-flat modules., Matlis flat modules, On Strongly Copure Flat Modules and Copure Flat Dimensions, \(n\)-copure projective modules.

Cites Work

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• Injective modules over Noetherian rings
• On rings with finite self-injective dimension. II
• Injective and flat covers, envelopes and resolvents
• Rings which have flat injective modules
• Flat covers of modules
• Strongly torsion free, copure flat and Matlis reflexive modules
• Relative homological algebra
• Modules with decompositions that complement direct summands
• Injective modules and prime ideals
• COPURE INJECTIVE MODULES
• Relative injective covers
• On the exactness of flat resolvents
• The existence of Gorenstein flat covers
• On envelopes with the unique mapping property
• On copure flat modules and flat resolvents
• Injective Dimension in Noetherian Rings
• Endomorphism Rings of Projective Modules
• Envelopes and covers by modules of finite injective and projective dimensions