Some results on semi maximal filters in BL−algebras
In this article, we present an equivalent definition for the concept of the semi maximal filter in $BL-$algebras and some of their properties are studied. At first, we focus on elucidating the relationship between semi maximal filters and minimal prime filters. By conducting this analysis, some clas...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-12-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4466_b0478bebf53ddaad7f9c7215ddd33af5.pdf |
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| author | Mahta Bedrood Asiyeh Hassani Movahed Arsham Borumand Saeid |
| author_facet | Mahta Bedrood Asiyeh Hassani Movahed Arsham Borumand Saeid |
| author_sort | Mahta Bedrood |
| collection | DOAJ |
| description | In this article, we present an equivalent definition for the concept of the semi maximal filter in $BL-$algebras and some of their properties are studied. At first, we focus on elucidating the relationship between semi maximal filters and minimal prime filters. By conducting this analysis, some classifications for semi maximal filters are given. |
| format | Article |
| id | doaj-art-bfd44c92a4254ff2a0bea226f6bbd48f |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-bfd44c92a4254ff2a0bea226f6bbd48f2025-01-04T19:29:49ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-0113413114110.22103/jmmr.2024.23561.16654466Some results on semi maximal filters in BL−algebrasMahta Bedrood0Asiyeh Hassani Movahed1Arsham Borumand Saeid2Department of Pure Mathematics and Calculations, Faculty of Mathematics, Higher Education Complex of Bam, Kerman, Iran.Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.In this article, we present an equivalent definition for the concept of the semi maximal filter in $BL-$algebras and some of their properties are studied. At first, we focus on elucidating the relationship between semi maximal filters and minimal prime filters. By conducting this analysis, some classifications for semi maximal filters are given.https://jmmrc.uk.ac.ir/article_4466_b0478bebf53ddaad7f9c7215ddd33af5.pdfbl−algebra(semi maximalminimal prime) filter |
| spellingShingle | Mahta Bedrood Asiyeh Hassani Movahed Arsham Borumand Saeid Some results on semi maximal filters in BL−algebras Journal of Mahani Mathematical Research bl−algebra (semi maximal minimal prime) filter |
| title | Some results on semi maximal filters in BL−algebras |
| title_full | Some results on semi maximal filters in BL−algebras |
| title_fullStr | Some results on semi maximal filters in BL−algebras |
| title_full_unstemmed | Some results on semi maximal filters in BL−algebras |
| title_short | Some results on semi maximal filters in BL−algebras |
| title_sort | some results on semi maximal filters in bl algebras |
| topic | bl−algebra (semi maximal minimal prime) filter |
| url | https://jmmrc.uk.ac.ir/article_4466_b0478bebf53ddaad7f9c7215ddd33af5.pdf |
| work_keys_str_mv | AT mahtabedrood someresultsonsemimaximalfiltersinblalgebras AT asiyehhassanimovahed someresultsonsemimaximalfiltersinblalgebras AT arshamborumandsaeid someresultsonsemimaximalfiltersinblalgebras |