Add to ORKGWe investigate some properties of the fibration of points. We obtain a characterization of protomodular categories among pointed regular ones, and, in the semi-abelian case, a characterization of strong protomodularity. Everything is also stated in terms of internal actions
AbstractAs any category Gp(E) of internal groups in a given category E, the category Gp(Top) of topo...
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in ...
We introduce normal cores, as well as the more general action cores, in the context of a semi-abelia...
We investigate some properties of the fibration of points. We obtain a characterization of protomodu...
Abstract We investigate some properties of the fibration of points. We obtain a characterization of ...
In the context of protomodular categories, several additional conditions have been considered in ord...
of actions of the object G on the object X, in the sense of the theory of semi-direct products in V....
AbstractThe classical 3×3 lemma and snake lemma, valid in any abelian category, still hold in any qu...
Abstract. As observed by J. Beck, and as we know from M. Barr’s and his joint work on triple cohomol...
Abstract. We characterize semi-abelian monadic categories and their local-izations. These results ar...
AbstractProclusions generalize quotient maps. Proclusions for a functor P: A → C are defined as pair...
summary:The dual of the category of pointed objects of a topos is semi-abelian, thus is provided wit...
We characterize fibrations and ∗ -fibrations in the 2-category of internal groupoids in terms of t...
Protoadditive functors are designed to replace additive functors in a non-abelian setting. Their pro...
The aim of this paper is to solve a problem proposed by Dominique Bourn: to provide a categorical-al...
AbstractAs any category Gp(E) of internal groups in a given category E, the category Gp(Top) of topo...
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in ...
We introduce normal cores, as well as the more general action cores, in the context of a semi-abelia...
We investigate some properties of the fibration of points. We obtain a characterization of protomodu...
Abstract We investigate some properties of the fibration of points. We obtain a characterization of ...
In the context of protomodular categories, several additional conditions have been considered in ord...
of actions of the object G on the object X, in the sense of the theory of semi-direct products in V....
AbstractThe classical 3×3 lemma and snake lemma, valid in any abelian category, still hold in any qu...
Abstract. As observed by J. Beck, and as we know from M. Barr’s and his joint work on triple cohomol...
Abstract. We characterize semi-abelian monadic categories and their local-izations. These results ar...
AbstractProclusions generalize quotient maps. Proclusions for a functor P: A → C are defined as pair...
summary:The dual of the category of pointed objects of a topos is semi-abelian, thus is provided wit...
We characterize fibrations and ∗ -fibrations in the 2-category of internal groupoids in terms of t...
Protoadditive functors are designed to replace additive functors in a non-abelian setting. Their pro...
The aim of this paper is to solve a problem proposed by Dominique Bourn: to provide a categorical-al...
AbstractAs any category Gp(E) of internal groups in a given category E, the category Gp(Top) of topo...
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in ...
We introduce normal cores, as well as the more general action cores, in the context of a semi-abelia...