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 Generalized ideal elements in $le$-$\Gamma$-semigroups Commun. Korean Math. Soc. 2011 Vol. 26, No. 3, 373-384 https://doi.org/10.4134/CKMS.2011.26.3.373Published online September 1, 2011 Kostaq Hila and Edmond Pisha University of Gjirokastra, University of Tirana Abstract : In this paper we introduce and give some characterizations of $(m,n)$-regular $le$-$\Gamma$-semigroup in terms of $(m,n)$-ideal elements and $(m,n)$-quasi-ideal elements. Also, we give some characterizations of subid-empotent $(m,n)$-ideal elements in terms of $r_{\alpha}$- and $l_{\alpha}$- closed elements. Keywords : $\Gamma$-semigroup, $po$-$\Gamma$-semigroup, $poe$-$\Gamma$-semigroup, $\vee e$-$\Gamma$-semigroup, $le$-$\Gamma$-semigroup, $(m,n)$-ideal element, $(m,n)$-regular $le$-$\Gamma$-semigroup, $(m,n)$-quasi-ideal element, bi-ideal elements MSC numbers : 06F99, 06F05, 20M10 Downloads: Full-text PDF