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In this paper, the so-called differential graded (DG for short) Poisson Hopfalgebra is introduced, which can be considered as a natural extension ofPoisson Hopf algebras in the differential graded setting. The structures on theuniversal enveloping algebras of differential graded Poisson Hopf algebras arediscussed.

The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras