[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 …

Some conditions for the existence of Gorenstein projective covers and preenvelopes

B Yu - Journal of Algebra and Its Applications, 2016 - World Scientific
In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …

Strongly -Gorenstein projective, injective and flat modules

N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
Full article: All Modules Have Gorenstein Flat Precovers Skip to Main Content Taylor and
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Gorenstein FC-projective modules

Y Wang, D Zhou - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …

[PDF][PDF] On GI-flat modules and dimensions

Z Gao - Journal of the Korean Mathematical Society, 2013 - researchgate.net
Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

Gorenstein FI-flat (pre) covers

C Selvaraj, V Biju, R Udhayakumar - Gulf Journal of Mathematics, 2015 - gjom.org
GORENSTEIN FI-FLAT (PRE)COVERS 1. Introduction The notions of (pre)covers and (pre)envelopes
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …

Strongly -Gorenstein projective, injective and flat modules

N Mahdou, M Tamekkante - Acta Mathematica Universitatis …, 2018 - iam.fmph.uniba.sk
This paper generalize the idea of the authors in [3]. Namely, we define and study a particular
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …

Topics on -almost Gorenstein rings

S Goto, N Taniguchi - arXiv preprint arXiv:1704.01278, 2017 - arxiv.org
The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …

Stability of Gorenstein X-flat modules

C Selvaraj, A Umamaheswaran - Lobachevskii Journal of Mathematics, 2016 - Springer
In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …