IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS | ||
| Journal of Algebraic Systems | ||
| مقاله 2، دوره 3، شماره 2، فروردین 2016، صفحه 109-125 اصل مقاله (163.75 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.611 | ||
| نویسندگان | ||
| S. H. Ghazavi1؛ S. M. Anvariyeh* 2؛ S. Mirvakili3 | ||
| 1Department of Mathematics-Yazd University-Yazd-Iran | ||
| 2Department Of Mathematics-Yazd University-Yazd-Iran | ||
| 3Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 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 | ||
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