On Hom-Jacobi algebra structures

We define hom-Jacobi algebras as an extension of hom-Poisson algebras and we give some examples. We describe the universal property of first-order hom-differential operators as well as the universal property of first-order hom-differential multi-operators. By using these universal properties, we prove the existence and uniqueness of a canonical purely hom-Jacobi form associated to purely hom-Jacobi algebra.

کلیدواژه ها:

Hom-Jacobi algebras‎ ، ‎Hom-Lie algebras‎ ، ‎First-order Hom-differential operators