Fuzzy Quasi-Ideals of Ordered Semigroups
نویسندگان
چکیده
In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals. We define semiprime fuzzy quasi-ideal of ordered semigroups and characterize completely regular ordered semigroup in terms of semiprime fuzzy quasi-ideals. We also study the decomposition of left and right simple ordered semigroups having the property a ≤ a2 for all a ∈ S, by means of fuzzy quasi-ideals. 2010 Mathematics Subject Classification: 06F05, 06D72, 08A72
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