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

Document Type : Research Paper

Authors

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

Abstract

In this paper, we define and consider

G

-set on

Γ

-semihypergroups and we obtain relations between

G

-sets
and their associate

\hat{G}

-sets where

G

is a

Γ

-semihypergroup and

\hat{G}

is an associated
semihypergroup. Finally, we obtain the relation between direct limit of

\hat{G}

-sets from the direct limit defined on

G

-sets.

Keywords