An uncoupled Ore algebra is an abstraction of common properties of
linear partial differential, shift and qshift operators.
Using uncoupled Ore algebras, we present an algorithm for finding
hyperexponential solutions of a system of linear differential,
shift and $q$shift operators, or any mixture thereof, whose solution space is
finitedimensional. The algorithm is applicable to
factoring modules over an uncoupled Ore algebra when the modules
are also finitedimensional vector spaces over the field of
rational functions.
