  W. Rump showed that there exists a one-to-one correspondence between
involutive right non-degenerate solutions of the Yang-Baxter equation and Rump
right quasigroups. J. S. Carter, M. Elhamdadi, and M. Saito, meanwhile,
introduced a homology theory of set-theoretic solutions of the Yang-Baxter
equation in order to define cocycle invariants of classical knots. In this
paper, we introduce the normalized homology theory of an involutive right
non-degenerate solution of the Yang-Baxter equation and prove that the
set-theoretic Yang-Baxter homology of certain solutions can be split into the
normalized and degenerated parts.
