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GIUSEPPE METERE

A note on strong protomodularity, actions and quotients

  • Authors: Metere, G.
  • Publication year: 2017
  • Type: Articolo in rivista (Articolo in rivista)

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.

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