Notes on Gorenstein Flat Modules

Y Yang, X Yan - Bulletin of the Iranian Mathematical Society, 2019 - Springer
In this paper, we explore conditions under which Gorenstein flat modules are Gorenstein
projective. We prove that all countably presented strongly Gorenstein flat modules are …

[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 …

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 …

Gorenstein n-flat modules and their covers

C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …

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 …

[PDF][PDF] Rings over which all Gorenstein Flat Modules are Flat

D Bennis, K Ouarghi - International Mathematical Forum, 2010 - m-hikari.com
Rings over which all Gorenstein Flat Modules are Flat 1 Introduction Page 1 International
Mathematical Forum, 5, 2010, no. 41, 2043 - 2047 Rings over which all Gorenstein Flat Modules …

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

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→ …

Gorenstein projective precovers in the category of modules

K Coggins - 2016 - digitalcommons.georgiasouthern …
It was recently proved that if R is a coherent ring such that R is also left n-perfect, then the
class of Gorenstein projective modules, GP, is precovering. We will prove that the class of …

Weak Gorenstein projective, injective and flat modules

Z Gao - Journal of Algebra and Its Applications, 2013 - World Scientific
In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …