GORENSTEIN n-WEAK INJECTIVE AND GORENSTEIN n-WEAK FLAT MODULES UNDER EXCELLENT EXTENSIONS.

M Amini - Journal of Mahani Mathematical Research Center, 2023 - search.ebscohost.com
Let R be an associative ring and let n be a non-negative integer. In this paper, we consider n-
super finitely presented, Gorenstein n-weak injective and Gorenstein n-weak flat modules …

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 …

[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 …

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) …

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 …

The rings in which all super finitely presented modules are Gorenstein projective

S Xing, F Wang - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
Let R be a commutative ring. The Gorenstein super finitely presented dimension of R is
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …

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 …

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 …