Non-Fellerian processes show phenomena that are unseen in standard
interacting particle systems. We consider freezing transitions in
one-dimensional non-Fellerian processes which are built from the abelian
sandpile additions to which in one case, spin flips are added, and in another
case, the so called anti-sandpile subtractions. In the first case and as a
function of the sandpile addition rate, there is a sharp transition from a
non-trivial invariant measure to the invariant measure of the sandpile process.
For the combination sandpile plus anti-sandpile, there is a sharp transition
from one frozen state to the other anti-stat