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<p>We provide a necessary and sufficient condition to the existence of an ordered globalization of a partial ordered action of an ordered groupoid on a ring, and we also present criteria to obtain uniqueness. Furthermore, we apply those results to obtain a Morita context and to show that an inverse semigroup partial action has a globalization (unique up to equivalences) if and only if it is unital.</p>

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Globalization of Partial Actions of Ordered Groupoids on Rings

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月7日

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  • Wesley G. Lautenschlaeger,
  • Thaísa Tamusiunas

摘要

We provide a necessary and sufficient condition to the existence of an ordered globalization of a partial ordered action of an ordered groupoid on a ring, and we also present criteria to obtain uniqueness. Furthermore, we apply those results to obtain a Morita context and to show that an inverse semigroup partial action has a globalization (unique up to equivalences) if and only if it is unital.