Some results in hoop algebras

In this paper, we introduce the notion of obstinate filter in hoop algebras and study the relationship between this notion and other types of filters in hoops, we show that every obstinate filter is a fantastic and perfect filter and collect all of the relationships in a diagram. Finally, we define...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 32; no. 3; pp. 1805 - 1813
Main Authors Namdar, A., Borzooei, R.A., Borumand Saeid, A., Aaly Kologani, M.
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2017
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Summary:In this paper, we introduce the notion of obstinate filter in hoop algebras and study the relationship between this notion and other types of filters in hoops, we show that every obstinate filter is a fantastic and perfect filter and collect all of the relationships in a diagram. Finally, we define the notion of locally finite hoop and we show that if F is an obstinate filter, then A/F is a locally finite hoop.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-152553