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<p>We investigate some properties of quasi-hyperideals and show that quasi-hyperideals and bi-hyperideals coincide in regular ordered semihyperrings. Furthermore, we give characterizations of regular ordered semihyperrings, regular duo ordered semihyperrings and left (resp. right) regular ordered semihyperrings by their quasi-hyperideals.</p>

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Characterizations of regular ordered semihyperrings by their quasi-hyperideals

  • 期刊论文

  • 发表日期：

    2025年1月25日

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  • Warud Nakkhasen,
  • Bundit Pibaljommee

摘要

We investigate some properties of quasi-hyperideals and show that quasi-hyperideals and bi-hyperideals coincide in regular ordered semihyperrings. Furthermore, we give characterizations of regular ordered semihyperrings, regular duo ordered semihyperrings and left (resp. right) regular ordered semihyperrings by their quasi-hyperideals.