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arXiv · 2402.16758

Globalization of Partial Actions of Ordered Groupoids on Rings

Wesley G. Lautenschlaeger·Thaísa Tamusiunas
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Abstract

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 isomorphism) if, and only if, it is unital.

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Wesley G. Lautenschlaeger, Thaísa Tamusiunas. 2024-02-26. Globalization of Partial Actions of Ordered Groupoids on Rings. https://arxiv.org/abs/2402.16758

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