Relative weak injective and weak flat modules with respect to a semidualizing module

E Tavasoli, M Salimi, S Yassemi - Indian Journal of Pure and Applied …, 2022 - Springer
Let R be a commutative ring, and let C be a semidualizing R-module. We introduce the
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …

Gorenstein n-FP-injective and Gorenstein n-flat complexes

C Selvaraj, R Saravanan - Bollettino dell'Unione Matematica Italiana, 2018 - Springer
In this paper, we introduce and study the notions of Gorenstein n-FP-injective and
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …

Gorenstein modules and dualizing modules

Y Li - Communications in Algebra, 2015 - Taylor & Francis
Full article: Gorenstein Modules and Dualizing Modules Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

Weak Gorenstein Graded Modules

S Yanhui, GUO Ting - Journal of Xinjiang University (Natural Science …, 2024 - sciopen.com
Let R be a graded ring. The concepts of weak Gorenstein gr-projective modules, gr-injective
modules and gr-flat modules are introduced, and some homological characterizations of …

n-gr-coherent rings and Gorenstein graded modules

M Amini, D Bennis, S Mamdouhi - Czechoslovak Mathematical Journal, 2022 - Springer
Let R be a graded ring and n⩾ 1 be an integer. We introduce and study the notions of
Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules by using the notion of special …

Gorenstein flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

Quasi-strongly Gorenstein projective modules

K Hu, F Wang, L Xu, D Zhou - Journal of Algebra and Its …, 2019 - World Scientific
In this paper, we introduce the class of quasi-strongly Gorenstein projective modules which
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …

Category of n-weak injective and n-weak flat modules with respect to special super presented modules

M Amini, H Amzil, D Bennis - Communications in Algebra, 2021 - Taylor & Francis
Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts
of n-weak injective and n-weak flat modules and via the notion of special super finitely …

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 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) …