COHOMOLOGY RING OF THE TENSOR PRODUCT OF POISSON ALGEBRAS

Abstract

. In this paper, we study the Poisson cohomology ring of the tensor product of Poisson algebras. Explicitly, it is proved that the Pois- son cohomology ring of tensor product of two Poisson algebras is isomorphic to the tensor product of the respective Poisson cohomology ring of these two Poisson algebras as Gerstenhaber algebras.