A topology induced by uniformity on BL-algebras

✍ Scribed by Masoud Haveshki; Esfandiar Eslami; Arsham Borumand Saeid

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 149 KB
• Volume: 53
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.200610035

✦ Synopsis

Abstract

In this paper, we consider a collection of filters of a BL‐algebra A. We use the concept of congruence relation with respect to filters to construct a uniformity which induces a topology on A. We study the properties of this topology regarding different filters. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)