Trivial Extensions Of (BiHom)-Poisson Algebras

The main content of this thesis consists of two parts.In the first part,the trivial extension of Poisson algebra is discussed and conditions for the extension algebra to be Poisson are given.In the second part,the notions of BiHom-Poisson algebra and BiHom-Poisson module are introduced,and the results related to trivial extension of Poisson algebras are generated to the BiHom-Poisson case.