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 …

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 …

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 …

On n-Weak Cotorsion Modules

C Selvaraj, P Prabakaran - Lobachevskii Journal of Mathematics, 2018 - Springer
Let R be a ring and na fixed non-negative integer. In this paper, n-weak cotorsion modules
are introduced and studied. A right R-module N is called n-weak cotorsion module if Ext …

n-Super finitely copresented and n-weak projective modules

M Amini - Journal of Algebra and Related Topics, 2022 - jart.guilan.ac.ir
Let $ R $ be a ring and $ n $ a non-negative integer. In this paper, we first introduce the
concept of $ n $-super finitely copresented $ R $-modules and via these modules, we give a …

Rings with finite n-Weak injective dimension and (n, k)-Weak cotorsion modules

M Amini, H Amzil, D Bennis - arXiv preprint arXiv:2105.00413, 2021 - arxiv.org
Let R be a ring and n, k be two non-negative integers. As an extension of several known
notions, we introduce and study (n, k)-weak cotorsion modules using the class of right R …

Gorenstein -weak injective and Gorenstein -weak flat modules under‎ ‎excellent extensions

M Amini - Journal of Mahani Mathematical Research, 2023 - jmmrc.uk.ac.ir
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 …

Relative weak derived functors

P Prabakaran - Commentationes Mathematicae Universitatis Carolinae, 2020 - dml.cz
Let $ R $ be a ring, $ n $ a fixed non-negative integer, ${\mathscr {WI}} $ the class of all left $
R $-modules with weak injective dimension at most $ n $, and ${\mathscr {WF}} $ the class …