ON HYPERACTIONS OF HYPERGROUPS

Jianming Zhan, S Sh, Mousavi, M Jafarpour
2011 U.P.B. Sci. Bull., Series A   unpublished
In this paper, we define the notion of hyperaction of a hyper-group on a nonempty set and also the notion of index of a subhypergroup in a hypergroup, as a generalization of the concept of action of a group on a nonempty set and the notion of index of a subgroup in a group, respectively. Some properties such as the generalized orbit-stabilizer theorem, are investigated. In particular, introduce a construction of a hypergroup from a hyperaction. Finally, we assign a generalized state hypergroup
more » ... d state hypergroup to a nondeterministic automata which can associated from a hyperaction.
fatcat:lflikzwkorfyleni25mpzkoyey