Duo property for rings by the quasinilpotent perspective
نویسندگان
چکیده
In this paper, we focus on the duo ring property via quasinilpotent elements, which gives a new kind of generalizations commutativity. We call rings qnil-duo. Firstly, some properties quasinilpotents in are provided. Then set is applied to rings, perspective, introduce and study right (resp., left) qnil-duo rings. show that concept not left-right symmetric. Among others, it proved if Hurwitz series $H(R; \alpha)$ qnil-duo, then $R$ Every abelian. A exchange has stable range 1.
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ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2021
ISSN: ['2075-9827', '2313-0210']
DOI: https://doi.org/10.15330/cmp.13.2.485-500