Bulletin of the
Korean Mathematical Society BKMS

In this paper we study the connections between right quasi-duo rings and 2-primal rings, including several counterexamples for answers to some questions that occur naturally in the process. Actually we concern following three questions and modified ones: (1) Are right quasi-duo rings 2-primal?, (2) Are formal power series rings over weakly right duo rings also weakly right duo? and (3) Are 2-primal rings right quasi-duo? Moreover we consider some conditions under which the answers of them may be affirmative, obtaining several results which are related to the questions.

Keywords: quasi-duo ring, 2-primal ring, polynomial ring and formal power series ring

MSC numbers: 16D15, 16D25, 16N40