Centrality and normality in protomodular categories

By Dominique Bourn, Marino Gran. Theory and Applications of Categories, 2001

78 citations recorded by the source corpus.

We analyse the classical property of centrality of equivalence relations in terms of normal monomorphisms. For this purpose, the internal structure of connector is introduced, allowing to clarify classical results in Maltsev categories and to prove new ones in protomodular categories. This approach allows to work in the general context of finitely complete categories, without requiring the usual Barr exactness assumption.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6c9e6599ec9eac32b7674a3e6c98573bd11b1922

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Tim Van der Linden
2. Marino Gran
3. Dominique Bourn

In Geometry and Topology

1. Marino Gran
2. Tim Van der Linden
3. Dominique Bourn
4. Sandra Mantovani
5. Giuseppe Metere
6. Tomas Everaert

In Mathematical Physics

1. Marino Gran
2. Tim Van der Linden
3. Dominique Bourn
4. Tomas Everaert
5. Sandra Mantovani
6. Giuseppe Metere

Citations in the corpus

• On the second cohomology group in semi-abelian categories (2005, methodology): “The paper [14] was the first in which the relationship between these two notions of centrality was investigated.”
• Central extensions in semi-abelian categories (2002, background): “2 in [7] and the Proposition 3.”