[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2020.33.3.327

ON STRONGLY RIGHT 𝜋-DUO RINGS

Cheon, Jeoung Soo (Department of Mathematics Pusan National University)
Nam, Sang Bok (Department of Computer Engineering Kyungdong University)
Yun, Sang Jo (Department of Mathematics Dong-A University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.33, no.3, 2020 , pp. 327-337 More about this Journal

Abstract

This article continues the study of right 𝜋-duo rings, concentrating on the situation of nonzero powers. For this purpose we introduce the concept of strongly right 𝜋-duo and examine the structure of strongly right 𝜋-duo in relation to various ring properties that play important roles in ring theory. It is proved for a strongly right 𝜋-duo ring R that if the upper (lower) nilradical of R is zero then R is reduced. Various kinds of examples are examined in relation to the questions raised in the procedure.

Keywords

strongly right ${\pi}$ -duo ring; right duo ring; right ${\pi}$ -duo ring; weakly right duo ring; nilradical; nilpotent element;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
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