On the structure of Horn quandles

Marco Bonatto; Alissa S. Crans; Glen Whitney

doi:10.1016/j.jpaa.2019.03.006

On the structure of Horn quandles

Marco Bonatto, Alissa S. Crans, Glen Whitney

Mathematics, Statistics and Data Science

Research output: Contribution to journal › Article › peer-review

Abstract

We continue the study of the quandle of homomorphisms into a medial quandle begun in [2]. We show that it suffices to consider only medial source quandles, and therefore the structure theorem of [11] provides a characterization of the Hom quandle. In the particular case when the target is 2-reductive this characterization takes on a simple form that makes it easy to count and determine the structure of the Hom quandle

Original language	English
Pages (from-to)	5017-5029
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	223
Issue number	11
DOIs	https://doi.org/10.1016/j.jpaa.2019.03.006
State	Published - Nov 2019

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On the structure of Horn quandles

Abstract

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