3 citations · 5 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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 …
Quasipolarity of Generalized Matrix Rings
Orhan Gurgun, Sait Halicioglu, Abdullah Harmanci
An element of a ring is called \emph{quasipolar} provided that there exists an idempotent such that , and . A ring $R…
Rickart Modules Relative to Goldie Torsion Theory
Burcu Ungor, Sait Halicioglu, Abdullah Harmanci
Let be an arbitrary ring with identity and a right -module with End. Let be the second singular submodule of . In this paper, we define Goldie Ri…
Strongly J-Clean Rings with Involutions
Huanyin Chen, Abdullah Harmanci, A. Cigdem Ozcan
A ring with an involution * is called strongly -*-clean if every element is a sum of a projection and an element of the Jacobson radical that commute. In this article, we prove…