Partial Groupoid Actions on Categories: Globalization and the smash product

2018/11/02 by Marín, V., Pinedo, H. · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1811.01094

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.

Cited by

• Globalization of partial monoid actions via abstract rewriting systems

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