On set-theoretic Yang-Baxter cohomology groups of cyclic biquandles

We determine the Betti numbers for the (degenerate and normalized) set-theoretic Yang-Baxter (co)homology groups of cyclic biquandles and estimate their torsion subgroups. This partially settles the conjecture presented by Przytycki, Vojtechovsky, and Yang. We also obtain cocycles which are representatives of the elements of a basis for the free part of the cohomology group of a cyclic biquandle.