On direct product, semidirect product of groupoids and partial actions
Category Theory
2021-01-01 v1
Abstract
We present some constructions of groupoids as: direct product, semidirect product, and we give necessary and sufficient conditions for a groupoid to be embedded into a direct product of groupoids. Also, we establish necessary and sufficient conditions to determine when a semidirect product is direct. Moreover, we establish an equivalence between the category of strict partial groupoid actions and the category of star injective functors. Finally, we give a relation of categorical type between the actions groupoids (G, X) and (G, Y), being Y a universal globalization of X.
Keywords
Cite
@article{arxiv.2012.14483,
title = {On direct product, semidirect product of groupoids and partial actions},
author = {Víctor Marín and Héctor Pinedo},
journal= {arXiv preprint arXiv:2012.14483},
year = {2021}
}