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 …

-- injective and -- flat modules under Foxby equivalence

M Amini, F Rezaei - arXiv preprint arXiv:2210.02277, 2022 - arxiv.org
Let $ S $ and $ R $ be rings, $ _S C_R $ a (faithfully) semidualizing bimodule and $ n\geq
1$. In this paper, we introduce the concepts of $ C $-$ fp_n $-injective and $ C $-$ fp_n …

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 …

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 …

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 …