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An observation on n-permutability
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 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. | 106.47 KB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Mal’tsev category Goursat category n-permutable category pre-order equivalence relation internal category internal groupoid
Contexto Educativo
Citação
Nelson Martins-Ferreira, Diana Rodelo, Tim Van der Linden "An observation on n-permutability," Bulletin of the Belgian Mathematical Society - Simon Stevin, Bull. Belg. Math. Soc. Simon Stevin 21(2), 223-230, (may 2014). DOI: https://doi.org/10.36045/bbms/1400592620.
Editora
Belgian Mathematical Society
Licença CC
Sem licença CC