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arXiv · 1811.01094

Partial Groupoid Actions on Categories: Globalization and the smash product

V. Marín·H. Pinedo
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Abstract

In this article, we introduce the concept of partial groupoid actions on R- semicategories as well as we give criteria for existence of a globalization of it. This point of view is a generalization of the notions of partial groupoid actions on rings and partial group action on an R-semicategory. We also define the notions of partial skew groupoid category, smash product and describe functorial relations between them, in particular we show that the smash product is a Galois covering of its associated skew groupoid category.

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V. Marín, H. Pinedo. 2018-11-02. Partial Groupoid Actions on Categories: Globalization and the smash product. https://arxiv.org/abs/1811.01094

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