Abstract
We prove that in a regular category all reflexive and transitive relations are symmetric if and only if every internal category is an internal groupoid. In particular, these conditions hold when the category is $n$-permutable for some $n$.
Citation
Nelson Martins-Ferreira. Diana Rodelo. Tim Van der Linden. "An observation on $n$-permutability." Bull. Belg. Math. Soc. Simon Stevin 21 (2) 223 - 230, may 2014. https://doi.org/10.36045/bbms/1400592620
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