On strongly --Flat modules and Their Homological Dimensions
W Qi, X Zhang, W Zhao - arXiv preprint arXiv:2302.00991, 2023 - arxiv.org
In this paper, we introduce and study the notion of strongly $\phi $-$ w $-flat modules. The
$\phi $-$ w $-weak global dimension $\phi $-$ w $-w. gl. dim $(R) $ of an NP-ring $ R $ is …
$\phi $-$ w $-weak global dimension $\phi $-$ w $-w. gl. dim $(R) $ of an NP-ring $ R $ is …
On --Flat modules and Their Homological Dimensions
X Zhang, W Zhao - arXiv preprint arXiv:2107.12643, 2021 - arxiv.org
In this paper, we introduce and study the class of $\phi $-$ w $-flat modules which are
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …
Strongly -flat modules, strongly nonnil-injective modules and their homological dimensions
X Zhang, S Xing, W Qi - arXiv preprint arXiv:2211.14681, 2022 - arxiv.org
In this paper, we first introduce and study the notions of strongly $\phi $-flat modules and
strongly nonnil-injective modules. And then, we investigate the homology dimensions of …
strongly nonnil-injective modules. And then, we investigate the homology dimensions of …
A new version of P-flat modules and its applications
W Qi, X Zhang - arXiv preprint arXiv:2407.17865, 2024 - arxiv.org
In this paper, we introduce and study the class of $\phi $-$ w $-P-flat modules, which can be
seen as generalizations of both $\phi $-P-flat modules and $ w $-P-flat modules. In …
seen as generalizations of both $\phi $-P-flat modules and $ w $-P-flat modules. In …
--projective modules and dimension
RAK Assaad, EM Bouba, M Tamekkante - arXiv preprint arXiv:2206.03533, 2022 - arxiv.org
Let $ R $ be a ring. An $ R $-module $ M $ is said to be an absolutely $ w $-pure module if
and only if $\Ext^ 1_R (F, M) $ is a GV-torsion module for any finitely presented module $ F …
and only if $\Ext^ 1_R (F, M) $ is a GV-torsion module for any finitely presented module $ F …
On -(weak) global dimension
Y El Haddaoui, N Mahdou - Journal of Algebra and Its Applications, 2024 - World Scientific
In this paper, we will introduce and study the homological dimensions defined in the context
of commutative rings with prime nilradical. So all rings considered in this paper are …
of commutative rings with prime nilradical. So all rings considered in this paper are …
[PDF][PDF] A HOMOLOGICAL CHARACTERIZATION OF Q0-PvMRS
X Zhang - researchgate.net
Let R be a commutative ring. An R-module M is called a semiregular w-flat module if TorR 1
(R/I, M) is GV-torsion for any finitely generated semi-regular ideal I. In this article, we show …
(R/I, M) is GV-torsion for any finitely generated semi-regular ideal I. In this article, we show …
A homological characterization of Q0-Prüfer v-multiplication rings
X Zhang - International Electronic Journal of Algebra, 2022 - dergipark.org.tr
Let R be a commutative ring. An R-module M is called a semi-regular w-flat module if
\Tor_1^R(R/I,M) is \GV-torsion for any finitely generated semi-regular ideal I. In this article …
\Tor_1^R(R/I,M) is \GV-torsion for any finitely generated semi-regular ideal I. In this article …
[PDF][PDF] On w-copure flat modules and dimension
HK El Mehdi Bouba, M Tamekkante - Bull. Korean Math. Soc, 2020 - academia.edu
Let R be a commutative ring. An R-module M is said to be w-flat if Tor R 1 (M, N) is GV-
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …
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 …
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …