1Department of Mathematics-Yazd University-Yazd-Iran
2Department Of Mathematics-Yazd University-Yazd-Iran
3Department 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.
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