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A topology induced by uniformity on BL‐algebras
Author(s) -
Haveshki Masoud,
Eslami Esfandiar,
Borumand Saeid Arsham
Publication year - 2007
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200610035
Subject(s) - mathematics , topology (electrical circuits) , congruence (geometry) , relation (database) , construct (python library) , pure mathematics , combinatorics , computer science , geometry , data mining , programming language
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)