Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
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→⋯ of …
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
Gorenstein flat modules relative to injectively resolving subcategories
Z Gao, W Wu - Journal of Algebra and Its Applications, 2022 - World Scientific
Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …
Gorenstein flat modules as a common generalization of some known modules such as …
GORENSTEIN CATEGORIES 𝒢 (𝒳, 𝒴, 𝒵) AND DIMENSIONS
X Yang - The Rocky Mountain Journal of Mathematics, 2015 - JSTOR
Let 𝒜 be an abelian category and 𝒳, 𝒴, 𝒵 additive full subcategories of 𝒜. We introduce and
study the Gorenstein category 𝒢 (𝒳, 𝒴, 𝒵) as a common generalization of some known …
study the Gorenstein category 𝒢 (𝒳, 𝒴, 𝒵) as a common generalization of some known …
When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)
N Mahdou, M Tamekkante - arXiv preprint arXiv:0909.2384, 2009 - arxiv.org
In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …
Gorenstein projective, injective and flat modules
Z Liu, X Yang - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In basic homological algebra, projective, injective and flat modules play an important and
fundamental role. In this paper, we discuss some properties of Gorenstein projective …
fundamental role. In this paper, we discuss some properties of Gorenstein projective …
Stable ideals in Gorenstein local rings
A Ooishi - Journal of Pure and Applied Algebra, 1990 - Elsevier
STABLE IDEALS IN GORENSTEIN LOCAL RINGS Page 1 Journal of Pure and Applied Algebra
69 (1990) 185-191 North-Holland 185 STABLE IDEALS IN GORENSTEIN LOCAL RINGS Akira …
69 (1990) 185-191 North-Holland 185 STABLE IDEALS IN GORENSTEIN LOCAL RINGS Akira …
(𝒲,𝒴,𝒳)-Gorenstein complexes
R Zhao, N Ding - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT Let 𝒲, 𝒴, 𝒳 be three classes of left R-modules. In this paper, we introduce and
study (𝒲, 𝒴, 𝒳)-Gorenstein complexes as a common generalization of completely 𝒲-resolved …
study (𝒲, 𝒴, 𝒳)-Gorenstein complexes as a common generalization of completely 𝒲-resolved …
Strongly -Gorenstein projective, injective and flat modules
N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …
define and study a particular case of modules with Gorenstein projective, injective, and flat …
Strongly Gorenstein flat modules
N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In this paper, strongly Gorenstein flat modules are introduced and investigated. An R-
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …
On Gorenstein FP-Injective and Gorenstein Flat Complexes
D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …