IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS

Author(s):

S. H. Ghazavi , S. M. Anvariyeh , S. Mirvakili

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:

(m , n) , ideal , interior ideal , Ends lemma , EL , hyperstructures

Language:
English
Published:
Journal of Algebraic Systems, Volume:3 Issue: 2, Winter - Spring 2016
Pages:
109 to 125
https://www.magiran.com/p1595219