Ghazavi, S., Anvariyeh, S., Mirvakili, S. (2015). IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS. Journal of Algebraic Systems, 3(2), 109-125. doi: 10.22044/jas.2015.611
S. H. Ghazavi; S. M. Anvariyeh; S. Mirvakili. "IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS". Journal of Algebraic Systems, 3, 2, 2015, 109-125. doi: 10.22044/jas.2015.611
Ghazavi, S., Anvariyeh, S., Mirvakili, S. (2015). 'IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS', Journal of Algebraic Systems, 3(2), pp. 109-125. doi: 10.22044/jas.2015.611
Ghazavi, S., Anvariyeh, S., Mirvakili, S. IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS. Journal of Algebraic Systems, 2015; 3(2): 109-125. doi: 10.22044/jas.2015.611
IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS
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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