Abstract
We characterize the fuzzy left (resp. right) ideals, the fuzzy ideals and the fuzzy prime (resp. semiprime) ideals of an ordered Γ-groupoid M in terms of level subsets and we prove that the cartesian product of two fuzzy left (resp. right) ideals of M is a fuzzy left (resp. right) ideal of M × M, and the cartesian product of two fuzzy prime (resp. semiprime) ideals of M is a fuzzy prime (resp. semiprime) ideal of M × M. As a result, if μ and σ are fuzzy left (resp. right) ideals, ideals, fuzzy prime or fuzzy semiprime ideals of M, then the nonempty level subsets (μ × σ)t are so.
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