  Definitions of actions of Hopf quasigroups are discussed in the context of
Long dimodules and smash products. In particular, Long dimodules are defined
for Hopf quasigroups and coquasigroups, and solutions to Militaru's D-equation
are constructed. A necessary compatibility condition between action and
multiplication of a Hopf quasigroup acting on its quasimodule Hopf quasigroup
for a smash product construction is derived.
