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 …

Weak injective and weak flat modules

Z Gao, F Wang - Communications in Algebra, 2015 - Taylor & Francis
Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing 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 …

n-Flat and n-FP-injective modules

X Yang, Z Liu - Czechoslovak mathematical journal, 2011 - Springer
n-FLAT AND n-FP-INJECTIVE MODULES 1. Introduction We use R-Mod (resp., Mod-R) to
denote the category of all left (resp., right) Page 1 Czechoslovak Mathematical Journal, 61 (136) …

Rings over which every module has a flat\\delta-cover

P AYDOĞDU - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
Let M be a module. A\delta-cover of M is an epimorphism from a module F onto M with
a\delta-small kernel. A\delta-cover is said to be a flat\delta-cover in case F is a flat module. In …

Some results on -injective modules, -flat modules and -coherent rings

Z Zhu - Commentationes Mathematicae Universitatis Carolinae, 2015 - dml.cz
Let $ n, d $ be two non-negative integers. A left $ R $-module $ M $ is called $(n, d) $-
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …

[引用][C] n-weak injective and n-weak flat modules under m-semidualizing bimodules

M Amini, D Bennis, M Khattari - Journal of Algebra and its …, 2024 - World Scientific
Let S and R be rings, the n, m two non-negative integers and SCR an (faithfully) m-
semidualizing bimodule. In this paper, we introduce, via special super finitely presented …

Weak injective and weak flat complexes

Z Gao, Z Huang - Glasgow Mathematical Journal, 2016 - cambridge.org
Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

Absolutely s-Pure Modules and Neat-Flat Modules

E Büyükaşık, Y Durğun - Communications in Algebra, 2015 - Taylor & Francis
Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

[HTML][HTML] Relative copure injective and copure flat modules

L Mao, N Ding - Journal of pure and Applied Algebra, 2007 - Elsevier
Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …