Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
Gorenstein flatness and injectivity over Gorenstein rings
WL Song, ZY Huang - Science in China Series A: Mathematics, 2008 - Springer
Let R be a Gorenstein ring. We prove that if I is an ideal of R such that R/I is a semi-simple
ring, then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein …
ring, then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein …
Coherent rings with finite self-FP-injective dimension
N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
On Gorenstein flat dimension
S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
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 …
[引用][C] A note on Gorenstein projective and Gorenstein flat modules
X Wang - Journal of Algebra and Its Applications, 2023 - World Scientific
We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …
[PDF][PDF] When the flat and Gorenstein flat dimensions coincide?
S Bouchiba - Colloq. Math, 2017 - researchgate.net
It is well known that, given a ring R, if M is an R-module such that pdR (M)<∞, then GidR
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …
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 …
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 …
Gorenstein projective dimensions of complexes
ZK Liu, CX Zhang - Acta Mathematica Sinica, English Series, 2011 - Springer
We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …