Weak Injective and Weak Flat Modules

DOI10.1080/00927872.2014.924128zbMath1334.16008OpenAlexW1801406364MaRDI QIDQ3448265

Fanggui Wang, Zenghui Gao

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.924128

zbMATH Keywords

super finitely presented dimensionweak flat envelopessuper finitely presented modulesweak flat modulesweak injective modules

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) Homological dimension in associative algebras (16E10)

Related Items (31)

Relative weak injective and weak flat modules with respect to a semidualizing module ⋮ Gorenstein flat modules relative to injectively resolving subcategories ⋮ Weak injective covers and dimension of modules ⋮ FP_n-injective and FP_n-flat modules with respect to a semidualizing bimodule ⋮ Some examples in Gorenstein multiplicative ideal theory ⋮ Unnamed Item ⋮ A unified approach to various Gorenstein modules ⋮ The rings in which all super finitely presented modules are Gorenstein projective ⋮ Unnamed Item ⋮ Strongly \(\mathcal{E}\)-Gorenstein injective and flat modules ⋮ Some characterizations of coherent rings in terms of strongly FP-injective modules ⋮ The right Gorenstein subcategory \(r\mathcal{G}(\mathscr{C},\mathscr{D})\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Relative Gorenstein rings and duality pairs ⋮ Relative weak derived functors ⋮ Tate cohomology for complexes with finite Gorenstein AC-injective dimension ⋮ On \(n\)-weak cotorsion modules ⋮ Homological properties of modules with finite weak injective and weak flat dimensions ⋮ Neat-phantom and clean-cophantom morphisms ⋮ Gorenstein objects in the category of N-complexes ⋮ Category of n -weak injective and n -weak flat modules with respect to special super presented modules ⋮ Unnamed Item ⋮ WEAK INJECTIVE AND WEAK FLAT COMPLEXES ⋮ Super Finitely Presented Modules and Gorenstein Projective Modules ⋮ Gorenstein coresolving categories ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes ⋮ Generalized coherent domains of self-weak injective dimension at most one ⋮ Unnamed Item ⋮ Weak $n$-injective and weak $n$-fat modules ⋮ Relative Gorenstein n-weak injective and n-weak flat modules

Cites Work

• Unnamed Item
• The Auslander-Bridger formula and the Gorenstein property for coherent rings
• Injective and flat covers, envelopes and resolvents
• Commutative coherent rings
• ON COSTA'S CONJECTURE
• Onn-Coherent Rings and (n,d)-Rings
• Relative injective covers
• Parameterizing families of non-noetherian rings
• Onn-Coherent rings
• A note on existence of envelopes and covers
• Weak-Injective Modules
• ALL GORENSTEIN HEREDITARY RINGS ARE COHERENT
• On Relative Injective Modules and Relative Coherent Rings
• HEREDITARY RINGS
• Coherent Rings and Fp -Injective Modules

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