Hom Quandles

Document Type

Article - post-print

Publication Date



If A is an abelian quandle and Q is a quandle, the hom set Hom(Q,A) of quandle homomorphisms from Q to A has a natural quandle structure. We exploit this fact to enhance the quandle counting invariant, providing an example of links with the same counting invariant values but distinguished by the hom quandle structure. We generalize the result to the case of biquandles, collect observations and results about abelian quandles and the hom quandle, and show that the category of abelian quandles is symmetric monoidal closed.


This article is the post-print version.

Recommended Citation

Crans, A. and Nelson, S. “Hom Quandles.” Journal of Knot Theory and its Ramifications. Vol. 23 (2014), No. 2.