Characterizations of ordered Γ-Abel-Grassmann's groupoids
Madad Khan, Venus Amjid, Gul Zaman, Naveed Yaqoob (2014)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, we introduced the concept of ordered Γ-AG-groupoids, Γ-ideals and some classes in ordered Γ-AG-groupoids. We have shown that every Γ-ideal in an ordered Γ-AG**-groupoid S is Γ-prime if and only if it is Γ-idempotent and the set of Γ-ideals of S is Γ-totally ordered under inclusion. We have proved that the set of Γ-ideals of S form a semilattice, also we have investigated some classes of ordered Γ-AG**-groupoid and it has shown that weakly regular, intra-regular, right...