IJPAM: Volume 86, No. 3 (2013)
THE PARTIAL TRANSFORMATION SEMIGROUP ON A SET
Department of Mathematics
Faculty of Science
Bangkok, 10110, THAILAND
Abstract. 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 &alphal• G(X)•α of (P(X),•) become a local subsemihypergroup of P(X).
Received: May 22, 2013
AMS Subject Classification: 20M20, 20N20
Key Words and Phrases: partial transformation semigroup, local subsemigroup, hypergroup, semihypergroup
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DOI: 10.12732/ijpam.v86i3.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395