  We introduce the notion of entropic Niebrzydowski tribrackets or just
entropic tribrackets, analogous to entropic (also known as abelian or medial )
quandles and biquandles. We show that if X is a finite entropic tribracket then
for any tribracket T , the homset Hom(T, X) (and in particular, for any
oriented link L, the homset Hom(T (L), X)) also has the structure of an
entropic tribracket. This operation yields a product on the category of
entropic tribrackets; we compute the operation table for entropic tribrackets
of small cardinality and prove a few results. We conjecture that this structure
can be used to distinguish links which have the same counting invariant with
respect to a chosen entropic coloring tribracket X.
