Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A STUDY ON QUASI-DUO RINGS

  • Kim, Chol-On (Department of Mathematics Busan national University) ;
  • Kim, Hong-Kee (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University) ;
  • Jang, Sung-Hee (Department of Mathematics Education Kyungpook National University)
  • Published : 1999.08.01
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Abstract

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$\ulcorner$, (2) Are formal power series rings over weakly right duo rings also weakly right duo\ulcorner and (3) Are 2-primal rings right quasi-duo\ulcorner Moreover we consider some conditions under which the answers of them may be affirmative, obtaining several results which are related to the questions.

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References

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