STRONGLY GORENSTEIN FLAT MODULES

DOI10.1017/S1446788708000761zbMath1200.16010OpenAlexW2112425798MaRDI QIDQ3395319

Yuan Lin Li, Nan Qing Ding, Li-Xin Mao

Publication date: 26 August 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000761

zbMATH Keywords

projective modules precovers exact sequences cotorsion theories coherent rings preenvelopes Gorenstein flat dimension strongly Gorenstein flat modules

Mathematics Subject Classification ID

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) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items

On Copure Projective Modules and Copure Projective Dimensions, Homological dimensions relative to preresolving subcategories. II, $\mathfrak{X}$-Gorenstein Projective Dimensions, On rings with finite Gorenstein weak global dimension, On Ding projective complexes, Triangulated equivalence between a homotopy category and a triangulated quotient category, Gorenstein flat modules relative to injectively resolving subcategories, Unnamed Item, Singularity categories with respect to Ding projective modules, Foxby equivalences associated to Gorenstein categories𝒢(𝒳,𝒴,𝒵), Relative derived categories, Ding projective modules with respect to a semidualizing bimodule., OnX-Gorenstein projective dimensions and precovers, Flat-precover completing domains, Auslander conditions and tilting-like cotorsion pairs, Avramov-Martsinkovsky type exact sequences with $\mathrm {Tor}$ functors, Relative derived categories, relative singularity categories and relative defect categories, A unified approach to various Gorenstein modules, Generalized Tate cohomology and Avramov–Martsinkovsky type sequences, Auslander condition and Gorenstein rings, Remarks on balance for Tate and generalized Tate (co)homology, Ding projective modules over Morita context rings, Strongly $\mathcal{E}$-Gorenstein injective and flat modules, Projectively coresolved Gorenstein flat and ding projective modules, The right Gorenstein subcategory $r\mathcal{G}(\mathscr{C},\mathscr{D})$, Unnamed Item, Unnamed Item, Cartan-Eilenberg complexes with respect to cotorsion pairs, A description of Gorenstein projective modules over the tensor products of algebras, $n$-cotorsion pairs, DING-GRADED MODULES AND GORENSTEIN GR-FLAT MODULES, NOTES ON STABILITY OF GORENSTEIN CATEGORIES, Characterizations of Ding injective complexes, Gorenstein objects in the category of N-complexes, Strict Mittag-Leffler conditions and Gorenstein modules, Cartan-Eilenberg Ding projective complexes, Model Structures on Categories of Complexes Over Ding-Chen Rings, On right orthogonal classes and cohomology over Ding-Chen rings, On Gorenstein projective dimensions of unbounded complexes, On Ding homological dimensions., DERIVED CATEGORIES WITH RESPECT TO DING MODULES, Unnamed Item, Stability of strongly Gorenstein flat modules., Gillespie's questions and Grothendieck duality, Strongly Gorenstein flat modules and dimensions., Strongly Gorenstein Flat Dimensions of Complexes, Strict Mittag–Leffler Conditions on Gorenstein Modules, Strongly $(\mathscr{X},\mathscr{Y},\mathscr{Z})$-Gorenstein modules and applications, Relative Gorenstein objects in abelian categories, Resolutions and stability of Gorenstein classes of modules, Gorenstein coresolving categories, Gorenstein AC-projective dimension of unbounded complexes, (𝒲,𝒴,𝒳)-Gorenstein complexes, Maximum deconstructibility in module categories, Recollements induced by monomorphism categories, Weak tilting modules, (STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS, Unnamed Item, Applications of cotorsion pairs on triangulated categories, Finiteness criteria in quasi-resolving subcategories, Ding Projective and Ding Injective Modules, Relative global Gorenstein dimensions, Model structures, recollements and duality pairs, FP-injective dimensions and Gorenstein homology, Gorenstein categories $\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)$ and dimensions

Cites Work