  Let $X$ be a smooth affine symplectic variety over $\mathbb{Z}/p\mathbb{Z},$
and let $A_1$ be an Azumaya algebra over $X.$ In this note we show that if $A$
is a deformation quantization of $A_1$ over $\mathbb{Z}/p^n\mathbb{Z}$, then
any two-sided $\mathbb{Z}/p^n\mathbb{Z}$-flat ideal in $A$ is generated by
central elements.
