• 제목/요약/키워드: clean ordered Krasner hyperring

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STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS

  • Omidi, Saber;Davvaz, Bijan
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제25권2호
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    • pp.115-125
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    • 2018
  • In this paper, we introduce the notion of a clean ordered Krasner hyperring and investigate some properties of it. Now, let (R, +, ${\cdot}$, ${\leq}$) be a clean ordered Krasner hyperring. The following is a natural question to ask: Is there a strongly regular relation ${\sigma}$ on R for which $R/{\sigma}$ is a clean ordered ring? Our motivation to write the present paper is reply to the above question.