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math.RA2022
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…
math.RA2020
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…
math.RA2013
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…