مشخصات پژوهش

The aim of this paper is to extend the notion of bialgebra for Leibniz algebras (and Lie algebras) to 3-Leibniz algebras (and 3-Lie algebras) by use of the cohomology complex of 3-Leibniz algebras. Also, some theorems about Leibniz bialgebras are extended and proved in the case of 3-Leibniz bialgebras (3-Lie bialgebras). Moreover, a new theorem on the correspondence between 3-Leibniz bialgebra and its associated Leibniz bialgebra is proved. Finally, some examples are discussed in detail.