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<p>Starting with an <i>n</i>-ary (semi)hypergroup accompanied with a partial order, we define ordered <i>n</i>-ary (semi)hypergroup. The aim of this paper is to investigate some properties of the new defined concept. In this regard, we present non-trivial examples on ordered <i>n</i>-ary (semi)hypergroups and study their properties by studying some important subsets of them.</p>

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A study on ordered n-ary (semi)hypergroups and their subsets

  • 期刊论文

  • 发表日期：

    2025年8月13日

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  • M. Al Tahan,
  • B. Davvaz

摘要

Starting with an n-ary (semi)hypergroup accompanied with a partial order, we define ordered n-ary (semi)hypergroup. The aim of this paper is to investigate some properties of the new defined concept. In this regard, we present non-trivial examples on ordered n-ary (semi)hypergroups and study their properties by studying some important subsets of them.