STABILITY OF GORENSTEIN FLAT MODULES

DOI10.1017/S0017089511000516zbMath1235.16009OpenAlexW2008953850MaRDI QIDQ3116846

Samir Bouchiba, Mostafa Khaloui

Publication date: 12 February 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089511000516

zbMATH Keywords

exact sequencesGorenstein injective modulesGorenstein projective modulescomplete resolutionsGoorenstein flat modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Projective and free modules and ideals in commutative rings (13C10) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (11)

Gorenstein flat modules relative to injectively resolving subcategories ⋮ Unnamed Item ⋮ Finiteness criteria for Gorenstein flat dimension and stability ⋮ Stability of Gorenstein \(\mathcal X\)-flat modules. ⋮ Stability of strongly Gorenstein flat modules. ⋮ Resolutions and stability of Gorenstein classes of modules ⋮ Gorenstein projective complexes with respect to cotorsion pairs ⋮ Gorenstein flat modules with respect to duality pairs ⋮ STABILITY OF GORENSTEIN FLAT CATEGORIES ⋮ On Gorenstein flat dimension ⋮ Stability of Gorenstein flat categories with respect to a semidualizing module

Cites Work

• AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein homological dimensions.
• STABILITY OF GORENSTEIN FLAT CATEGORIES
• Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
• Stability of Gorenstein categories

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