On Topological Pseudo-UP Algebras Based on Pseudo-UP Ideals

Abstract

The aim of this paper is to introduce the concept of pseudo-UP ideals defined on a pseudo-UP algebra
and by usingthis concept we study a uniform structure on a pseudo-UP algebra. Also, we study some properties of
the topology whichis generated by a filter base on pseudo-UP algebra. Moreover, several results are obtained
using the concept of pseudo-UPhomomorphisms