Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

Finiteness criteria for Gorenstein flat dimension and stability

I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and
Stovicek and were shown to be Gorenstein projective. While the relation between …

[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 …

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 flat modules and dimensions

N Mahdou, M Tamekkante - Chinese Annals of Mathematics, Series B, 2011 - Springer
There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …

[HTML][HTML] Strongly Gorenstein projective, injective, and flat modules

D Bennis, N Mahdou - Journal of Pure and Applied Algebra, 2007 - Elsevier
In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

Modules of finite Gorenstein flat dimension and approximations

I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …

Stability of Gorenstein flat categories

G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …

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 …

Gorenstein gr-flat modules

MJ Asensio, JA López Ramos… - Communications in …, 1998 - Taylor & Francis
The theory of Gorenstein injective and projective modules start, ed in [4] as an st, udy of
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …