On Product Stable Quotient Order-homomorphisms

Document Type : Research Paper

Authors

1 Department of mathematices, sirjan university of technology

2 1Department of Mathematics, University of Hormozgan, Bandarabbas, Iran

10.22103/jmmrc.2021.14803.1103

Abstract

In this paper, we study the properties of some classes of quotient
order-homomorphisms, as product stable in the category of topological fuzzes.
We de ne the concept of a bi-quotient 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.

Keywords