Absolutely Pure Covers

DOI10.1080/00927870801952694zbMath1162.16003OpenAlexW2139640072MaRDI QIDQ3514763

Katherine Pinzon

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870801952694

zbMATH Keywords

injective coverscoherent ringsabsolutely pure modulescoresolving classesinjective precoversabsolutely pure coversabsolutely pure precovers

Mathematics Subject Classification ID

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

Related Items (32)

IFP-injective, IFP-flat modules and localizations. ⋮ Some remarks on Nonnil-coherent rings and ϕ-IF rings ⋮ Complexes of FP-injective Modules ⋮ Notes on Divisible and Torsionfree Modules ⋮ Weak injective covers and dimension of modules ⋮ (n, d)-Injective covers, n-coherent rings, and (n, d)-rings ⋮ Gorenstein weak \(n\)-silting modules and weak \(n\)-star modules ⋮ CARTAN–EILENBERG FP-INJECTIVE COMPLEXES ⋮ Covers and envelopes related to divisibility ⋮ Precovers and preenvelopes under change of rings. ⋮ On characterizations of w-coherent rings ⋮ SFI-INJECTIVE AND SFI-FLAT MODULES ⋮ n-IFP-flat modules and n-IFP-injective modules ⋮ \(n\)-cotorsion pairs ⋮ Covers in finitely accessible categories ⋮ Homological properties of modules with finite weak injective and weak flat dimensions ⋮ On characterizations of w-coherent rings II ⋮ Category of n -weak injective and n -weak flat modules with respect to special super presented modules ⋮ Injective envelopes and (Gorenstein) flat covers. ⋮ Coherent rings and absolutely pure covers ⋮ Recollements from Ding injective modules ⋮ Envelopes and Covers by Modules of FiniteFP-Injective Dimensions ⋮ Envelopes and Covers by n-Absolutely Pure Modules ⋮ Pure projective modules and FP-injective modules over Morita rings ⋮ Strongly FP-injective modules ⋮ Covers and Envelopes by #-ℱ Complexes ⋮ FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES ⋮ The recollements induced by contravariantly finite subcategories ⋮ Absolutelys-Pure Modules and Neat-Flat Modules ⋮ On n-Coherent Rings and (n,d)-Injective Modules ⋮ Ding Projective and Ding Injective Modules ⋮ Envelopes and Covers by Modules of FiniteFP-Injective and Flat Dimensions

Cites Work

• The spectrum of a locally coherent category
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• A Note on Absolutely Pure Modules
• Coherent Rings and Fp -Injective Modules
• Self-orthogonal modules over coherent rings

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