Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2005; 42(2): 379-386

Printed June 1, 2005

Copyright © The Korean Mathematical Society.

Uniform topology on difference algebras

Arsham Borumand Saeid

Islamic Azad University of Kerman

Abstract

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In this paper, we consider a collection of ideals of a difference algebra $X$. We use the concept of congruence relation with respect to ideals to construct a uniformity that induces a topology on $X$ which makes this to a topological difference algebras. We study the properties of this topology regarding different ideals.

Keywords: uniformity, difference algebra, ideals, topological difference algebra

MSC numbers: 06F35, 54E15, 54H99

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