SOME LOCAL SUBSEMIHYPERGROUPS OF THE PARTIAL TRANSFORMATION SEMIGROUP ON A SET
R.I. Sararnrakskul · International Journal of Pure and Apllied Mathematics · 2013
In this paper, we give definitions of a local subset and a local subsemihypergroup of a semihypergroup.Moreover, we define a hyperoperation • on the partial transformation semigroup P (X) so that (P (X), •) is a semihypergroup.Our aim is to characterize in form of an idempotent α of the semigroup P (X) when the local subset α •G(X)•α of (P (X), •) become a local subsemihypergroup of P (X).