Relative Gorenstein n-weak injective and n-weak flat modules

M Amini, H Amzil, D Bennis - Communications in Algebra, 2023 - Taylor & Francis
Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

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 …

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 …

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 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 …

n-strongly Gorenstein Projective and Injective and Flat Modules

X YANG - Chinese Quarterly Journal of Mathematics, 2014 - sxjk.magtechjournal.com
n-strongly Gorenstein Projective and Injective and Flat Modules Page 1 Chin. Quart. J. of Math.
2014, 29 (4): 553—564 n-strongly Gorenstein Projective and Injective and Flat Modules YANG …

Gorenstein FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

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 …

On (strongly) Gorenstein von Neumann regular rings

N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

[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 …