[PDF][PDF] On Gorenstein weak injective modules

T ZHAO, Y XU - arXiv preprint arXiv:1405.0648, 2014 - Citeseer
In this paper, we introduce the notion of Gorenstein weak injective modules in terms of weak
injective modules and characterize rings over which all modules are Gorenstein weak …

Remarks on Gorenstein weak injective and weak flat modules

T Zhao, Y Xu - Algebra Colloquium, 2020 - World Scientific
In this paper, we introduce Gorenstein weak injective and weak flat modules in terms of,
respectively, weak injective and weak flat modules; the classes of Gorenstein weak injective …

[HTML][HTML] Stability of Gorenstein modules with respect to a semidualizing module

Z WANG, S GUO - 数学杂志, 2017 - sxzz.whu.edu.cn
This paper mainly study the stability of Gorenstein modules with respect to a semidualizing
module C (ie, Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat …

[PDF][PDF] Stability of Gorenstein FI-flat modules

C Selvaraj, V Biju, R Udhayakumar - Far East J. of Math, 2014 - researchgate.net
In this paper, we introduce the concepts of Gorenstein FI-injective and Gorenstein FI-flat
modules and we are concerned with the stability of the class of Gorenstein FI-flat modules …

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 …

Stability of Gorenstein classes of modules

S Bouchiba - Algebra Colloquium, 2013 - World Scientific
The purpose of this paper is to give, via totally different techniques, an alternate proof to the
main theorem of [18] in the category of modules over an arbitrary ring R. In effect, we prove …

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 …

[PDF][PDF] X-injective and Gorenstein X-injective modules

C Selvaraj, A Umamaheswaran - Far East Journal of Mathematical …, 2014 - researchgate.net
X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …

Gorenstein -injective modules with respect to a semidualizing bimodule

Z Cheng, G Zhao - 대한수학회지, 2024 - kiss.kstudy.com
Let $ S $ and $ R $ be rings and $ _ {S} C_ {R} $ a semidualizing bimodule. We introduce
the notion of $ G_C $-$ FP_n $-injective modules, which generalizes $ G_C $-$ FP …

On stability of Gorenstein categories

A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …