Radical of filters on equality algebra

In this paper, by using the concept of maximal filter of equality algebra, we introduce radical of equality algebra. Then some equivalence definitions of it and some related properties are investigated. Then by using this notion, we introduce the concept of semi-maximal filter and prime-like filter...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 41; no. 6; pp. 7151 - 7165
Main Authors Aaly Kologani, M., Hoskova-Mayerova, S., Borzooei, R. A., Rezaei, G. R.
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2021
Subjects
Algebra
Equality
Topology
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Summary:In this paper, by using the concept of maximal filter of equality algebra, we introduce radical of equality algebra. Then some equivalence definitions of it and some related properties are investigated. Then by using this notion, we introduce the concept of semi-maximal filter and prime-like filter on equality algebras and the relation between them and other filters of equality algebra are investigated. Finally, by using the notion of prime-like filters, we introduce a topology on equality algebra.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-211035