# 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

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### History

• Receive Date: 05 October 2019
• Revise Date: 24 January 2021
• Accept Date: 24 February 2021