We study the right duo property on regular elements, and we say that rings with this property
are right DR. It is first shown that the right duo property is preserved by right quotient rings …

In this note we consider the right unit-duo ring property on the powers of elements, and
introduce the concept of weakly right unitduo ring. We investigate first the properties of …

We study the structure of right duo ring property when it is restricted within the group of units,
and introduce the concept of right unit-duo. This newly introduced property is first observed …

Alghazzawi and Leroy studied the structure of subsets satisfying the properties of symmetric
and commutatively closed, that is, abc∈ S for a, b, c∈ R implies acb∈ S, and ab∈ S for a …

We study the structure of rings whose factor rings modulo nonzero proper ideals are right
duo; such rings are called right FD. We first see that this new ring property is not left-right …

The object of this article is to initiate the study of a class of rings in which the right duo
property is applied in relation to powers of elements and the monoid of all regular elements …

This article concerns a ring property that arises from combining one-sided duo factor rings
and centers. A ring R is called right CIFD if R/I is right duo by some proper ideal I of R such …