给出了Poisson代数T的子代数、理想、同态等基本定义,通过引入T的T-自同态,得到具有平凡中心Poisson代数的分解在不计次序的条件下是唯一的.
Necessary definitions are presented,such as subalgebras,ideals,homomorphism in Poisson algebras.Then by introducing T-endomorphisms,the uniqueness of the decomposition of Poisson algebras with trival center without considering the order is obtained.