A note on strong protomodularity, actions and quotients
Category Theory
2016-03-29 v2
Abstract
In order to study the problems of extending an action along a quotient of the acted object and along a quotient of the acting object, we investigate some properties of the fibration of points. In fact, we obtain a characterization of protomodular categories among quasi-pointed regular ones, and, in the semi-abelian case, a characterization of strong protomodular categories. Eventually, we return to the initial questions by stating the results in terms of internal actions.
Keywords
Cite
@article{arxiv.1306.3773,
title = {A note on strong protomodularity, actions and quotients},
author = {Giuseppe Metere},
journal= {arXiv preprint arXiv:1306.3773},
year = {2016}
}