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A structural aspect of the category of quandles

Dominique Bourn

Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, Bat. H. Poincaré, 50 Rue F. Buisson, BP 699, 62228 Calais Cedex, France

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https://doi.org/10.1142/S0218216515500601Cited by:6 (Source: Crossref)

Abstract

We show that the category of quandles satisfies a Maltsev property relative to a certain class of split epimorphisms. This structural aspect produces a class of congruences, called puncturing, which have the property to permute with any other congruence.

Keywords:

AMSC: 57M27, 20N99, 18A12, 08B05

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