IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS

نویسندگان
Ghazavi, S. H. ID 1
Anvariyeh, S. M. ID 2
Mirvakili, S. ID 3

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.

doi
10.22044/jas.2015.611
چکیده

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.

کلیدواژه‌ها
(M, n)-ideal, interior ideal, Ends lemma, EL-hyperstructures