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<p>In this work we give the concept of 0-Archimedean group and show that every partially ordered abelian group can be embedded in a 0-Archimedean group. We also investigate the state topology on a partially ordered abelian group with order unit and give some properties of it.</p>

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Classification of Non-Archimedean Abelian Po-Groups

  • 期刊论文

  • 发表日期：

    2025年12月17日

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  • M. A. Ranjbar,
  • S. Karamdoust,
  • H. Myrnouri

摘要

In this work we give the concept of 0-Archimedean group and show that every partially ordered abelian group can be embedded in a 0-Archimedean group. We also investigate the state topology on a partially ordered abelian group with order unit and give some properties of it.