  We study Abelian generalized deformations of the usual product of polynomials
introduced in hep-th/9602016. We construct an explicit example for the case of
$su/2$ which provides a tentative of a quantum-mechanical description of Nambu
Mechanics on $R^3$. By introducing the notions of strong and weak triviality of
generalized deformations, we show that the Zariski product is never trivial in
either sense, while the example constructed here in a quantum-mechanical
context is only strongly non-trivial.
