On the structure of Hom quandles |
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| Institution: | 1. Charles University Prague, Czechia;2. Loyola Marymount University, United States of America;3. Harvard University, United States of America;1. Department of Mathematics and Statistics, University of South Alabama, United States of America;2. Department of Mathematics, Wingate University, United States of America |
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| Abstract: | We continue the study of the quandle of homomorphisms into a medial quandle begun in 1]. We show that it suffices to consider only medial source quandles, and therefore the structure theorem of 10] 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. |
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| Keywords: | 57M27 20N02 |
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