14 citations · 41 across the 12 of their papers we have counts for
4 papers · 2 filters
Algebraic logoi
D. Bourn, A. S. Cigoli, J. R. A. Gray +1
We introduce normal cores, as well as the more general action cores, in the context of a semi-abelian category, and further generalise those to split extension cores in the context…
Normalizers in the non-pointed context: a weak case of extremal decomposition
Dominique Bourn
The aim of this work is to point out a strong structural phenomenon hidden behind the existence of normalizers through the investigation of this property in the non-pointed context…
On the cocartesian image of preorders and equivalence relations in regular categories
Dominique Bourn
In a regular category , the direct image along a regular epimorphism of a preorder is not a preorder in general. In , its best preorder approximation is then it…
On Congruence Modular Varieties and Gumm Categories
Dominique Bourn
In (B-Gran, 2004), was given a categorical formulation of the Shifting Lemma which is a characterization of the Congruence Modular Varieties among all the variety of Universal Alge…