Set-theoretic Yang–Baxter (co)homology theory of involutive non-degenerate solutions

W. Rump showed that there exists a one-to-one correspondence between involutive right non-degenerate solutions of the Yang–Baxter equation and cycle sets. J. S. Carter, M. Elhamdadi, Saito, meanwhile, introduced homology theory set-theoretic in order to define cocycle invariants classical knots. In this paper, we introduce normalized an solution compute cyclic racks. Moreover, explicitly calculate some two-cocycles, which can be used classify certain families torus links.