A note on the "Smith is Huq" condition
Category Theory
2012-05-29 v1
Abstract
We show that two known conditions which arose naturally in commutator theory and in the theory of internal crossed modules coincide: every star-multiplicative graph is multiplicative if and only if every two effective equivalence relations commute as soon as their normalisations do. This answers a question asked by George Janelidze.
Cite
@article{arxiv.1006.1768,
title = {A note on the "Smith is Huq" condition},
author = {Nelson Martins-Ferreira and Tim Van der Linden},
journal= {arXiv preprint arXiv:1006.1768},
year = {2012}
}
Comments
11 pages