  The Minimal Supersymmetric Standard Model with gauge mediated supersymmetry
breaking and trilinear R-parity violation is applied to the description of
neutrinoless double beta decay. A detailed study of limits on the parameter
space coming from the B to (X,gamma) processes by using the recent CLEO results
is performed. The importance of two-nucleon and pion-exchange realizations of
neutrinoless double beta decay together with gluino and neutralino
contributions to this process are addressed. We have deduced new limits on the
trilinear R-parity breaking parameter lambda_{111}' from the non-observability
of 0 nu beta beta in several medium and heavy open-shell nuclei for different
gauge mediated breaking scenarios. In general, they are stronger than those
known from other analyses. Also some studies with respect to the future
neutrinoless double beta decay projects are presented.
