Weak injective covers and dimension of modules

DOI10.1007/s10474-015-0540-7zbMath1363.18011OpenAlexW1125019311WikidataQ114227611 ScholiaQ114227611MaRDI QIDQ343242

Mohammad Hasan, M. Dambrine

Publication date: 25 November 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0540-7

zbMATH Keywords

weak flat moduleweak injective coverweak injective dimensionweak injective moduleweak injective preenvelope

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Related Items (11)

Gorenstein flat modules relative to injectively resolving subcategories ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Relative weak derived functors ⋮ On \(n\)-weak cotorsion modules ⋮ Homological properties of modules with finite weak injective and weak flat dimensions ⋮ Category of n -weak injective and n -weak flat modules with respect to special super presented modules ⋮ On global \(\mathscr{C}\)-dimensions ⋮ Unnamed Item ⋮ Weak $n$-injective and weak $n$-fat modules ⋮ Relative Gorenstein n-weak injective and n-weak flat modules

Cites Work

• Injective envelopes and (Gorenstein) flat covers.
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• Commutative coherent rings
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• ALL MODULES HAVE FLAT COVERS
• Onn-Coherent Rings and (n,d)-Rings
• Weak Injective and Weak Flat Modules
• Absolutely Pure Covers
• Parameterizing families of non-noetherian rings
• Onn-Coherent rings
• n-COHERENT RINGS
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• Weak-Injective Modules
• Duality of Preenvelopes and Pure Injective Modules
• On Relative Injective Modules and Relative Coherent Rings
• Absolutely Pure Modules
• Coherent Rings and Fp -Injective Modules
• Absolutely Pure Modules
• A Module is Flat if and Only if its Character Module is Injective

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