Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot   Invariants from Generalizations of Quandles
  A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles. 
J.Scott Carter (University of South Alabama), Mohamed Elhamdadi   (University of South Florida), Masahico Saito (University ...