Gorenstein Flat Complexes Over Coherent Rings with Finite Self-FP-Injective Dimension

W Zhanping, L Zhongkui - Communications in Algebra, 2010 - Taylor & Francis
Full article: Gorenstein Flat Complexes Over Coherent Rings with Finite Self-FP-Injective
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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 …

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 …

Coherent rings and Gorenstein flat character modules

Y Yang, X Yan, G Dai - Communications in Algebra, 2021 - Taylor & Francis
A module is called a Gorenstein flat character module if its character module is Gorenstein
flat. We give some characterizations of Gorenstein flat character modules and explore the …

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) …

Gorenstein projective and weak Gorenstein flat modules

J Dong, J Wei - Communications in Algebra, 2024 - Taylor & Francis
Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We
obtain that the class of all Gorenstein projective modules forms a left-hand class of complete …

Gorenstein n-FP-injective and Gorenstein n-flat complexes

C Selvaraj, R Saravanan - Bollettino dell'Unione Matematica Italiana, 2018 - Springer
In this paper, we introduce and study the notions of Gorenstein n-FP-injective and
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …

Rings over which the class of Gorenstein flat modules is closed under extensions

D Bennis - Communications in Algebra, 2009 - Taylor & Francis
A ring R is called left “GF-closed”, if the class of all Gorenstein flat left R-modules is closed
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …

Complexes of Gorenstein flat modules and Gorenstein cotorsion modules

Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
A complex (C, δ) is called strongly Gorenstein flat if C is exact and Ker δ n is Gorenstein flat
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …

Gorenstein -flat modules and weak global dimensions

V Becerril - arXiv preprint arXiv:2303.12955, 2023 - arxiv.org
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …