Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras

الملخص EN

It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations.

Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom-Yang-Baxter equations.

Monoidal Hom-Hopf algebras with Frobenius structures are studied at last.