An extension of the migrative property for uninorms

In this paper the notion of α-migrative uninorms over a fixed uninorm U0 with the same neutral element is introduced. All uninorms U that are α-migrative over a uninorm U0 are studied. All cases when U and U0 have continuous underlying operations and belong to any one of the most usual classes of uninorms are analyzed, characterizing all solutions of the migrativity equation for all possible combinations.