7 citations · 34 across the 20 of their papers we have counts for
21 papers
-Reduced rings in terms of the Zhou radical
Handan Kose, Burcu Ungor, Abdullah Harmanci
Let be a ring, an idempotent of and denote the intersection of all essential maximal right ideals of which is called Zhou radical. In this paper, the Zhou ra…
The Natural partial order on modules
Tugba Pakel, Tugce Pekacar Calci, Sait Halicioglu +2
The Mitsch order is already known as a natural partial order for semigroups and rings. The purpose of this paper is to further study of the Mitsch order on modules by investigating…
Duo property for rings by the quasinilpotent perspective
Abdullah Harmanci, Yosum Kurtulmaz, Burcu Ungor
In this paper, we focus on the duo ring property via quasinilpotent elements which gives a new kind of generalizations of commutativity. We call this kind of ring qnil-duo. Firstly…
Reversible ring property via idempotent elements
Handan Kose, Burcu Ungor, Abdullah Harmanci
Regarding the question of how idempotent elements affect reversible property of rings, we study a version of reversibility depending on idempotents. In this perspective, we introdu…
Rings in which elements are a sum of a central and a nilpotent element
Yosum Kurtulmaz, Abdullah Harmancı
In this paper, we introduce a new class of rings whose elements are a sum of a central element and a nilpotent element, namely, a ring is called if each element of …
Minus Partial Order in Regular Modules
Burcu Ungor, Sait Halicioglu, Abdullah Harmanci +1
The minus partial order is already known for sets of matrices over a field and bounded linear operators on arbitrary Hilbert spaces. Recently, this partial order has been studied o…