Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 10 1 2021 05 01 On Product Stable Quotient Order-homomorphisms 27 36 2787 10.22103/jmmrc.2021.14803.1103 EN Ghasem Mirhosseinkhani Department of mathematices, sirjan university of technology Narges Nazari 1Department of Mathematics, University of Hormozgan, Bandarabbas, Iran Journal Article 2019 10 05 In this paper, we study the properties of some classes of quotient<br />order-homomorphisms, as product stable in the category of topological fuzzes.<br />We dene the concept of a bi-quotient order-homomorphism and show that for<br />Hausdorff topological fuzzes, a quotient order-homomorphism f : L1 ! L2 is<br />product stable if and only if f is bi-quotient and L2 is a core compact topological<br />fuzz. https://jmmrc.uk.ac.ir/article_2787_512d140fd23a7ff4d9e43a453b32a995.pdf