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
Metere, G. (2017). A note on strong protomodularity, actions and quotients. JOURNAL OF PURE AND APPLIED ALGEBRA, 221(1), 75-88 [10.1016/j.jpaa.2016.05.026].
A note on strong protomodularity, actions and quotients
METERE, Giuseppe
2017-01-01
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 actionsFile | Dimensione | Formato | |
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