Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Quasi-Gorenstein projective and quasi-Gorenstein injective modules
View through CrossRef
In this paper, we introduce quasi-Gorenstein projective and quasi-Gorenstein injective modules, study some of their properties and investigate their behavior with respect to short exact sequences. Also, we give homological descriptions of quasi-Gorenstein homological dimensions of modules when they are finite and in this case, we prove that quasi-Gorenstein projective precover and quasi-Gorenstein injective preenvelope exist.
World Scientific Pub Co Pte Ltd
Title: Quasi-Gorenstein projective and quasi-Gorenstein injective modules
Description:
In this paper, we introduce quasi-Gorenstein projective and quasi-Gorenstein injective modules, study some of their properties and investigate their behavior with respect to short exact sequences.
Also, we give homological descriptions of quasi-Gorenstein homological dimensions of modules when they are finite and in this case, we prove that quasi-Gorenstein projective precover and quasi-Gorenstein injective preenvelope exist.
Related Results
Gorenstein Projective Dimensions of Modules over Minimal Auslander–Gorenstein Algebras
Gorenstein Projective Dimensions of Modules over Minimal Auslander–Gorenstein Algebras
In this article we investigate the relations between the Gorenstein projective dimensions of [Formula: see text]-modules and their socles for [Formula: see text]-minimal Auslander–...
GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M is called Gorenstein FP-injective if there is an exact sequence ⋯ → E1 → E0 → E0 → E1 → ⋯ o...
On Closed Quasi Principally Injective Acts over Monoids
On Closed Quasi Principally Injective Acts over Monoids
The concept of closed quasi principally injective acts over monoids is introduced ,which signifies a generalization for the quasi principally injective as well as for the closed qu...
Generalizations of principally quasi‐injective modules and quasiprincipally injective modules
Generalizations of principally quasi‐injective modules and quasiprincipally injective modules
Let R be a ring and M a right R‐module with
S = End(MR). The module M is called almost principally
quasi‐injective (or APQ‐injective for short) if, for any m ∈ M, there exists an S...
GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES
GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES
AbstractGiven a complete hereditary cotorsion pair$(\mathcal{X}, \mathcal{Y})$, we introduce the concept of$(\mathcal{X}, \mathcal{X} \cap \mathcal{Y})$-Gorenstein projective modul...
(Weakly) Gorenstein injective and (weakly) Gorenstein coflat comodules
(Weakly) Gorenstein injective and (weakly) Gorenstein coflat comodules
In this paper, we introduce Gorenstein coat comodules and weakly Gorenstein injective (resp. coat) comodules over any coalgebra C. We prove that, for a left semiperfect coalgebra C...
Modules of finite Gorenstein flat dimension and approximations
Modules of finite Gorenstein flat dimension and approximations
AbstractWe study approximations of modules of finite Gorenstein flat dimension by (projectively coresolved) Gorenstein flat modules and modules of finite flat dimension. These appr...