A representation for radicals in pseudo BL-algebras

In this paper, we intend to introduce the notion of the radical of a filter in a pseudo BL-algebra and express its characteristics and properties. We define dense, infinitesimal, nilpotent, and unity elements in a pseudo BL-algebra, and then, investigate the relationship between these elements and t...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 36; no. 2; pp. 1443 - 1454
Main Authors Daneshpayeh, Roohallah, Borumand Saeid, Arsham, Mirvakili, Saeed
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2019
Subjects
Algebra
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Summary:In this paper, we intend to introduce the notion of the radical of a filter in a pseudo BL-algebra and express its characteristics and properties. We define dense, infinitesimal, nilpotent, and unity elements in a pseudo BL-algebra, and then, investigate the relationship between these elements and the radical in a pseudo BL-algebra. Our study revealed significant results in this regard.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-181039