53 citations · 70 across the 7 of their papers we have counts for
7 papers
On 1-absorbing primary ideal of a commutative ring (Correction to Theorem 17 is added)
Ayman Badawi, Ece Yetkin Celikel
Let R be a commutative ring with identity. In this paper, we introduce the concept 1-absrbing primary ideal of R.
On weakly delta-semiprimary ideals of commutative rings
Ayman Badawi, Deniz Sonmez, Gursel Yesilot
Let be a commutative ring with . We recall that a proper ideal of is called a semiprimary ideal of if whenever and , then $a\in \sqr…
On the dot product graph of a commutative ring, II
Mohammad Abdulla, Ayman Badawi
In this paper, we study the unit dot graph of product of commutative rings
On n-semiprimary Ideals and n-pseudo Valuation Domains
David F. Anderson, Ayman Badawi
In this paper, we introduce the concept of n-semiprimary ideals, n-powerful ideals, and n-powerful semiprimary ideals of commutative rings. We study these concepts and relate them…
On Weakly 1-absorbing Primary Ideals of Commutative Rings
Ayman Badawi, Ece Yetkin Celikel
Let R be a commutative ring with . In this paper, we introduce the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing ideal. A proper idea…
Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory
Ayman Badawi, Roswitha Rissner
For a partially ordered set , let be the simple, undirected graph with vertex set such that two vertices are adjacent if either or $b…
A characterization of normal subgroups via n-closed sets
Ayman Badawi
Let (G, *) be a semigroup, D subset of G, and n >= 2 be an integer. We say that (D, *) is an n-closed subset of G if a_1* ... *a_n in D for every a_1, ..., a_n in D. Hence every cl…