  The aim of this paper is the Ore extension of group-cograded Hopf
coquasigroups. This paper first shows a categorical interpretation and some
examples of group-cograded Hopf coquasigroups, and then gives a necessary and
sufficient conditions for the Ore extensions of group-cograded Hopf
coquasigroups to be group-cograded Hopf coquasigroups. Finally, a certain
isomorphism between Ore extensions are considered.
