Gorenstein FC-projective modules

Y Wang, D Zhou - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …

On strongly Gorenstein FP-injective modules

Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

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 …

n-Strongly Gorenstein Projective, Injective and Flat Modules

G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

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) …

A characterization of Gorenstein projective modules

J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

Strongly Gorenstein projective, injective and flat modules

X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …

[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 …

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 …

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 …