@article{Harmanci_Kurtulmaz_Ungor_2021, title={Duo property for rings by the quasinilpotent perspective}, volume={13}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/4761}, DOI={10.15330/cmp.13.2.485-500}, abstractNote={<p>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 rings <em>qnil-duo</em>. Firstly, some properties of quasinilpotents in a ring are provided. Then the set of quasinilpotents is applied to the duo property of rings, in this perspective, we introduce and study right (resp., left) qnil-duo rings. We show that this concept is not left-right symmetric. Among others, it is proved that if the Hurwitz series ring $H(R; \alpha)$ is right qnil-duo, then $R$ is right qnil-duo. Every right qnil-duo ring is abelian. A right qnil-duo exchange ring has stable range 1.</p>}, number={2}, journal={Carpathian Mathematical Publications}, author={Harmanci, A. and Kurtulmaz, Y. and Ungor, B.}, year={2021}, month={Oct.}, pages={485–500} }