학술저널
ON STRONGLY RIGHT π-DUO RINGS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 33, No. 3
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2020.08327 - 337 (11 pages)
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DOI : 10.14403/jcms.2020.33.3.327
- 10
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.
1. Strongly right π-duo rings
2. Examples of strongly right π-duo rings
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