%0 Journal Article %T On Product Stable Quotient Order-homomorphisms %J Journal of Mahani Mathematical Research %I Shahid Bahonar University of Kerman %Z 2251-7952 %A Mirhosseinkhani, Ghasem %A Nazari, Narges %D 2021 %\ 05/01/2021 %V 10 %N 1 %P 27-36 %! On Product Stable Quotient Order-homomorphisms %K Topological fuzzez %K quotient order-homomorphism %K product stable %R 10.22103/jmmrc.2021.14803.1103 %X In this paper, we study the properties of some classes of quotientorder-homomorphisms, as product stable in the category of topological fuzzes.We de ne the concept of a bi-quotient order-homomorphism and show that forHausdorff topological fuzzes, a quotient order-homomorphism f : L1 ! L2 isproduct stable if and only if f is bi-quotient and L2 is a core compact topologicalfuzz. %U https://jmmrc.uk.ac.ir/article_2787_512d140fd23a7ff4d9e43a453b32a995.pdf