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천정수(Jeoung Soo Cheon),남상복(Sang Bok Nam),윤상조(Sang Jo Yun) 충청수학회 2020 충청수학회지 Vol.33 No.3
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.