Shahrood University of Technology Journal of Algebraic Systems 2345-5128 3 2 2015 01 01 IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS 109 125 611 10.22044/jas.2015.611 EN S. H. Ghazavi Department of Mathematics-Yazd University-Yazd-Iran S. M. Anvariyeh Department Of Mathematics-Yazd University-Yazd-Iran S. Mirvakili Department of Mathematics, Payame Noor University, Tehran, Iran Journal Article 2015 01 30 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)<br /> 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. https://jas.shahroodut.ac.ir/article_611_edab4a829eab96599e8b252cfea28168.pdf