Strongly Gorenstein projective, injective, and flat modules

From MaRDI portal

Publication:886226

Jump to:navigation, search

DOI10.1016/j.jpaa.2006.10.010zbMath1118.13014arXivmath/0606770OpenAlexW2150085408WikidataQ114155528 ScholiaQ114155528MaRDI QIDQ886226

Driss Bennis, Najib Mahdoua

Publication date: 26 June 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606770

zbMATH Keywords

injective projective Gorenstein flat strongly

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

Gorenstein homological aspects of monomorphism categories via Morita rings ⋮ Strongly Gorenstein categories ⋮ Cartan-Eilenberg Gorenstein-injective \(m\)-complexes ⋮ Gorenstein Modules and Dualizing Modules ⋮ Coherent Rings and Gorenstein FP-Injective Modules ⋮ A generalization of Gorenstein injective modules ⋮ Totally acyclic complexes ⋮ Some examples in Gorenstein multiplicative ideal theory ⋮ Relative Gorenstein flat modules and dimension ⋮ SG-projective ideals in one dimensional Noetherian domains ⋮ \textit{SG}-flat complexes and their generalizations ⋮ Notes on Gorenstein flat modules ⋮ IG-projective modules. ⋮ On 2-SG-semisimple rings ⋮ When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module ⋮ Flat-precover completing domains ⋮ Tate cohomology with respect to semidualizing modules ⋮ Auslander conditions and tilting-like cotorsion pairs ⋮ Gorenstein homological dimensions for triangulated categories ⋮ Strongly Gorenstein graded modules ⋮ A note on local weakly SG-hereditary domains ⋮ Noncommutative G-semihereditary rings ⋮ The construction D + XD _S [ X and G -Prüfer domains] ⋮ Gorenstein flat preenvelopes ⋮ On strongly Gorenstein hereditary rings ⋮ Gorenstein FC-projective modules ⋮ Periodic modules and acyclic complexes ⋮ \(m\)-periodic Gorenstein objects ⋮ n-Strongly Gorenstein Projective and Injective Complexes ⋮ The finitely presented torsion-free SG-projective modules are not necessarily projective ⋮ \(V\)-Gorenstein projective, injective and flat modules. ⋮ Strongly \(\mathcal{E}\)-Gorenstein injective and flat modules ⋮ Projectively coresolved Gorenstein flat and ding projective modules ⋮ \(\mathcal{GP}\)-projective and \(\mathcal{GI}\)-injective modules. ⋮ On G-\((n,d)\)-rings ⋮ \(\mathfrak X\)-Gorenstein projective modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some change of rings results on (n, m)-SG modules and (n, m)-SG rings ⋮ GORENSTEIN PROJECTIVE OBJECTS IN FUNCTOR CATEGORIES ⋮ SG_C-Projective, Injective and Flat modules ⋮ Gorenstein homological dimensions of modules over triangular matrix rings ⋮ A note on Gorenstein projective complexes ⋮ Unnamed Item ⋮ Subprojectivity in abelian categories ⋮ Strongly Gorenstein-projective quiver representations ⋮ On GI-Injective Modules ⋮ Strict Mittag-Leffler conditions and Gorenstein modules ⋮ Representations of quivers over the algebra of dual numbers ⋮ Finitistic dimension conjectures via Gorenstein projective dimension ⋮ Strongly Gorenstein projective, injective and flat modules. ⋮ Gorenstein projective precovers ⋮ \(V\)-Gorenstein injective modules preenvelopes and related dimension ⋮ ALL GORENSTEIN HEREDITARY RINGS ARE COHERENT ⋮ \(K_0\) and rings over which the class of finitely generated strongly Gorenstein projective modules is closed under extensions. ⋮ On (strongly) Gorenstein (semi)hereditary rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rings over which all modules are strongly Gorenstein projective ⋮ Global Gorenstein dimensions ⋮ A short survey on Gorenstein global dimension ⋮ First, Second, and Third Change of Rings Theorems for Gorenstein Homological dimensions ⋮ Stability of Gorenstein \(\mathcal X\)-flat modules. ⋮ Stability of strongly Gorenstein flat modules. ⋮ A Note on Gorenstein Flat Dimension ⋮ Representations of quivers over Artinian rings ⋮ Gillespie's questions and Grothendieck duality ⋮ Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions ⋮ Gorenstein homological dimensions for extriangulated categories ⋮ Strongly Gorenstein flat modules and dimensions. ⋮ Strongly Gorenstein Flat Dimensions of Complexes ⋮ A Characterization of Gorenstein Projective Modules ⋮ A Hereditary Torsion Theory for Modules Over Integral Domains and Its Applications ⋮ Strict Mittag–Leffler Conditions on Gorenstein Modules ⋮ Strongly \((\mathscr{X},\mathscr{Y},\mathscr{Z})\)-Gorenstein modules and applications ⋮ A GENERALIZATION OF STRONGLY GORENSTEIN PROJECTIVE MODULES ⋮ On the hierarchy of cohomological dimensions of groups ⋮ $n$-strongly Gorenstein graded modules ⋮ STRONGLY GORENSTEIN FLAT MODULES ⋮ n-Strongly Gorenstein Projective, Injective and Flat Modules ⋮ On (Strongly) Gorenstein Von Neumann Regular Rings ⋮ Quasi-strongly Gorenstein projective modules ⋮ Noncommutative G-hereditary rings ⋮ Strongly Gorenstein Projective Modules Over Upper Triangular Matrix Artin Algebras ⋮ (STRONGLY) GORENSTEIN FLAT MODULES OVER GROUP RINGS ⋮ Gorenstein injective covers and envelopes over noetherian rings ⋮ On Strongly Gorenstein FP-Injective Modules ⋮ Gorenstein Analogue of Auslander's Theorem on the Global Dimension ⋮ STABILITY OF GORENSTEIN FLAT MODULES ⋮ On Stability of Gorenstein Categories ⋮ Unnamed Item ⋮ Stability of Gorenstein Classes of Modules ⋮ Strongly W-Gorenstein modules ⋮ Gorenstein Hereditary Rings ⋮ A note on two-generated ideals over domains ⋮ \(n\)-copure projective modules. ⋮ Gorenstein projective modules over a class of generalized matrix algebras and their applications. ⋮ Gorenstein injective envelopes and covers over two sided noetherian rings ⋮ New model structures and projective (injective) cotorsion pairs

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:886226&oldid=12838950"