On distributivity equations for uninorms over semi-t-operators

Recently, Drygaś generalized nullnorms and t-operators and introduced semi-t-operators by eliminating commutativity from the axioms of t-operators. Distributivity equations were investigated in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms (or called t-operators)). In this paper, we give out the solutions of distributivity equations for uninorms over semi-t-operators. Previous results about distributivity equations for uninorms over nullnorms can be obtained as corollaries.