IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS

Document Type : Original Manuscript

Authors

1 Department of Mathematics-Yazd University-Yazd-Iran

2 Department Of Mathematics-Yazd University-Yazd-Iran

3 Department of Mathematics, Payame Noor University, Tehran, Iran

Abstract

In this paper, we attempt to investigate the connection between various types of ideals (for examples (m,n)-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal)
of an ordered semigroup (S,cdot,leq) and the correspond hyperideals of its EL-hyperstructure (S,) (if exists). Moreover, we construct the class of EL-Gamma-semihypergroup associated to a partially ordered Gamma-semigroup.

Keywords