Ayman Badawi

activity

20202026

most citedSquare-difference factor absorbing ideals of a commutative ring

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.AC2026

The $n$ -total graph of an integral domain

Myriam AbiHabib, Ayman Badawi

Let $R$ be a finite product of integral domains and $D$ be a union of prime ideals (it is possible that $R$ is just an integral domain). Let $n \geq 1$ be a positive integer. This…

math.CO2026

On the $m$ -graph of a finite Abelian Group

Ayman Badawi

Let $H$ be a finite abelian (commutative) group of order $n \geq 2$ , and $m > 1$ be an integer. We define the $m$ -graph of $H$ , denoted by $m - G (H)$ , as a simple undirected graph wit…

math.AC2025

The n-total graph of a commutative ring

Djamila AitElhadi, Ayman Badawi

Let $R$ be a commutative ring with $1 \neq = 0$ , $Z (R)$ be the set of all zero-divisors of $R$ , and $n \geq 1$ . This paper introduces the $n$ -total graph of a commutative ring $R$ .…

math.AC2024★ 1 cited

Square-difference factor absorbing ideals of a commutative ring

David F. Anderson, Ayman Badawi, Jim Coykendall

Let $R$ be a commutative ring with $1 \neq = 0$ . A proper ideal $I$ of $R$ is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of $R$ if whenever $a^2 - b^2 \in…

math.AC2020

weakly $(m, n)$ -closed ideals and $(m, n)$ -von Neumann regular rings

David F. Anderson, Ayman Badawi, Brahim Fahid

Let R be a commutative ring with identity. In this paper, we introduce the concept of (m, n)-closed ideals of R and (m, n)-von Neumann regular rings

The n-total graph of an integral domain

On the m-graph of a finite Abelian Group

The n-total graph of a commutative ring

Square-difference factor absorbing ideals of a commutative ring

weakly (m,n)-closed ideals and (m,n)-von Neumann regular rings

The $n$ -total graph of an integral domain

On the $m$ -graph of a finite Abelian Group

weakly $(m, n)$ -closed ideals and $(m, n)$ -von Neumann regular rings