English

An observation on n-permutability

Category Theory 2014-07-08 v1

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.

Cite

@article{arxiv.1306.6523,
  title  = {An observation on n-permutability},
  author = {Nelson Martins-Ferreira and Diana Rodelo and Tim Van der Linden},
  journal= {arXiv preprint arXiv:1306.6523},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T00:41:28.139Z