Geodesic
Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups
Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 135-147

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In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m, n)-Г-hyperideals and if R(L) is a 0-minimal right (left) Г-hyperideal of S, then either (R◦ Г ◦L] = 0 or (R◦ Г ◦ L] is a 0-minimal (m, n)-Г-hyperideal of S. Also, we prove that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup; A is an (m, n)-Г-hyperideal of S and B is an (m, n)-Г-hyperideal of A such that B is idempotent, then B is an (m, n)-Г-hyperideal of S.
Keywords: LA-semihypergroups, ordered LA-Г-semi-hypergroups, (m, n)-Г-hyperideals 
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     author = {Basar, Abul},
     title = {Application of (m, {n)-{\CYRG}-Hyperideals} in {Characterization} of {LA-{\CYRG}-Semihypergroups}},
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Basar, Abul. Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups. Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 135-147. http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a10/