A note on strong protomodularity, actions and quotients

Giuseppe Metere, Giuseppe Metere

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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
Original languageEnglish
Pages (from-to)75-88
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume221
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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