Relations between G-sets and their associate G^{\hat}-sets

Document Type : Research Paper


Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran


In this paper, we define and consider $G$-set on
$\Gamma$-semihypergroups and we obtain relations between $G$-sets
and their associate $\widehat{G}$-sets where $G$ is a
$\Gamma$-semihypergroup and $\widehat{G}$ is an associated
semihypergroup. Finally, we obtain the relation between direct limit of $\widehat{G}$-sets from the direct limit defined on