Absolutely w-Pure Modules and Weak FP-Injective Dimensions

Q Li - Results in Mathematics, 2022 - Springer
Let R be a commutative ring. An R-module M is said to be an absolutely w-pure module if
Ext R 1 (F, M) is GV-torsion for any finitely presented R-module F. In this paper, we further …

On w-copure projective modules

RAK Assaad, M Tamekkante, L Mao - Communications in Algebra, 2024 - Taylor & Francis
Let R be a commutative ring. An R-module M is said to be w-split if Ext R 1 (M, N) is a GV-
torsion R-module for all R-modules N. It is known that every projective module is w-split, but …

S‐FP‐Projective Modules and Dimensions

RAK Assaad, X Zhang, H Kim - Journal of Mathematics, 2023 - Wiley Online Library
Let R be a ring and let S be a multiplicative subset of R. An R‐module M is said to be au‐S‐
absolutely pure module if Ext R 1 N, M is u‐S‐torsion for any finitely presented R‐module N …

On w-copure projective modules

R Abdelmawla Khaled Assaad, M Tamekkante… - arXiv e …, 2023 - ui.adsabs.harvard.edu
Let $ R $ be a commutative ring. An $ R $-module $ M $ is said to be $ w $-split if Ext $ _
{R}^ 1 (M, N) $ is a GV-torsion $ R $-module for all $ R $-modules $ N $. It is known that …

On -copure flat modules and dimension

EM Bouba, M Tamekkante - 대한수학회보, 2020 - dbpia.co.kr
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 …

--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 …

w-FP-projective Modules and Dimensions

M Tamekkante - Algebra and Related Topics with Applications …, 2022 - books.google.com
w-FP-projective Modules and Dimensions Page 59 w-FP-projective Modules and Dimensions
Refat Abdelmawla Khaled Assaad, El Mehdi Bouba, and Mohammed Tamekkante Abstract Let …

Weak uS-flat Modules and Dimensions

RAK Assaad, X Zhang - Kyungpook Mathematical Journal, 2023 - koreascience.kr
In this paper, we generalize the notions uniformly S-flat, briefly uS-flat, modules and
dimensions. We introduce and study the notions of weak uS-flat modules. An R-module M is …

[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 …

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 …