Some Properties Of P-differential Graded Poisson Algebras

This thesis is divided into two parts.In the first part,we mainly study the triv-ial extension algebra of p-differential graded Poisson algebras,which is proved to be a p-differential graded Poisson algebra as well.In the second part,the notions of p-differential graded Poisson subalgebras,p-differential graded Poisson ideals,p-differential graded Poisson submodules and cohomoly of p-differential graded Poisson algebras are introduced.Moreover,some basic properties of them are studied.