Czechoslovak Mathematical Journal, first online, pp. 4, 2017
A note on Poisson derivations
Received November 2, 2016. First published May 9, 2017.
Abstract: Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.