{"title":"Some results on primary filters in BL-algebras","authors":"Javad Moghaderi","doi":"10.1007/s13370-025-01252-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, with the aim of further investigating <i>BL</i>-algebras, the concepts of a prime less filter is introduced and discussed. Also, for the faster study of prime less filters in <i>BL</i>-algebras, some equivalent conditions are obtained. We prove some relations between this filter and other types of filters in <i>BL</i>-algebras. Also, some results that proven for prime filters in <i>BL</i>-algebras, to the case of prime less filters are proven. In this way, we find new properties for the primary filters in <i>BL</i>-algebras. Also, the notions of prime less <i>BL</i>-algebras (<i>Pls</i>–<i>BL</i>-algebras) are introduced and investigated.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01252-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, with the aim of further investigating BL-algebras, the concepts of a prime less filter is introduced and discussed. Also, for the faster study of prime less filters in BL-algebras, some equivalent conditions are obtained. We prove some relations between this filter and other types of filters in BL-algebras. Also, some results that proven for prime filters in BL-algebras, to the case of prime less filters are proven. In this way, we find new properties for the primary filters in BL-algebras. Also, the notions of prime less BL-algebras (Pls–BL-algebras) are introduced and investigated.
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