Countably McCoy rings
S Bouchiba, AA Ouahi, Y Najem - Hacettepe Journal of Mathematics …, 2022 - dergipark.org.tr
The main goal of this paper is to study the class of countably $\mathcal {A} $-rings (or the
countably McCoy rings) introduced by T. Lucas in [The diameter of a zero divisor graph, J …
countably McCoy rings) introduced by T. Lucas in [The diameter of a zero divisor graph, J …
Annihilator Condition on Modules
Let R be a commutative ring with 1≠ 0 and M a unital R-module. M is said to satisfy Property
(A) if for each finitely generated ideal J of R contained in ZR (M), there exists 0≠ m∈ M such …
(A) if for each finitely generated ideal J of R contained in ZR (M), there exists 0≠ m∈ M such …
[PDF][PDF] On strong countably McCoy rings.
S Bouchiba, AA Ouahi, Y Najem - Palestine Journal of Mathematics, 2024 - pjm.ppu.edu
The purpose of this paper is to study the strong version of countably A-rings (or the
countably McCoy rings) introduced by T. Lucas in [21]. Moreover, we introduce and …
countably McCoy rings) introduced by T. Lucas in [21]. Moreover, we introduce and …
[PDF][PDF] On Property (A) with respect to an ideal.
A Ait Ouahi, Y Arssi, S Bouchiba - Palestine Journal of Mathematics, 2022 - pjm.ppu.edu
The main goal of this paper is to introduce and study the notion of Property (A) of a ring R or
an R-module M with respect to an ideal I of R. The new notion turns out to be a weak form of …
an R-module M with respect to an ideal I of R. The new notion turns out to be a weak form of …
[PDF][PDF] Countably McCoy rings
S Bouchibacoraut, AA Ouahi, Y Najem - researchgate.net
The main goal of this paper is to study the class of countably A-rings (or the countably
McCoy rings) introduced by T. Lucas in [The diameter of a zero divisor graph, J. Algebra …
McCoy rings) introduced by T. Lucas in [The diameter of a zero divisor graph, J. Algebra …
On property () of the amalgamated duplication of a ring along an ideal
Y Arssi, S Bouchiba - Quaestiones Mathematicae, 2021 - Taylor & Francis
The main purpose of this paper is to totally characterize when the amalgamated duplication
R⋈ I of a ring R along an ideal I is an-ring as well as an-ring. In this regard, we prove that R⋈ …
R⋈ I of a ring R along an ideal I is an-ring as well as an-ring. In this regard, we prove that R⋈ …
On Property (A) of rings and modules over an ideal
S Bouchiba, Y Arssi - Journal of Algebra and Related Topics, 2020 - jart.guilan.ac.ir
This paper introduces and studies the notion of Property ($\mathcal A $) of a ring $ R $ or an
$ R $-module $ M $ along an ideal $ I $ of $ R $. For instance, any module $ M $ over $ R …
$ R $-module $ M $ along an ideal $ I $ of $ R $. For instance, any module $ M $ over $ R …