On Product Stable Quotient Order-homomorphisms

In this paper, we study the properties of some classes of quotient order-homomorphisms, as product stable in the category of topological fuzzes. We define the concept of a biquotient order-homomorphism and show that for Hausdorff topological fuzzes, a quotient order-homomorphism f : L1 → L2 is product stable if and only if f is bi-quotient and L2 is a core compact topological fuzz.