Fundamental Relation on HvBE-Algebras
In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation. We show that quotient of any \(H_{v}BE\)-algebra via a regular regulation is an \(H_{v}BE\)-algebra and this quotien...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Lodz University Press
2023-08-01
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| Series: | Bulletin of the Section of Logic |
| Subjects: | |
| Online Access: | https://czasopisma.uni.lodz.pl/bulletin/article/view/13229 |
| _version_ | 1797366182866583552 |
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| author | Farzad Iranmanesh Mansour Ghadiri Arsham Borumand Saeid |
| author_facet | Farzad Iranmanesh Mansour Ghadiri Arsham Borumand Saeid |
| author_sort | Farzad Iranmanesh |
| collection | DOAJ |
| description | In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation. We show that quotient of any \(H_{v}BE\)-algebra via a regular regulation is an \(H_{v}BE\)-algebra and this quotient, via any strongly relation is a \(BE\)-algebra. Furthermore, we investigate that under what conditions some relations on \(H_{v}BE\)-algebra are transitive relations. |
| first_indexed | 2024-03-08T17:00:37Z |
| format | Article |
| id | doaj.art-1adf1e20e42d4c529016e91e6ad12cf2 |
| institution | Directory Open Access Journal |
| issn | 0138-0680 2449-836X |
| language | English |
| last_indexed | 2024-03-08T17:00:37Z |
| publishDate | 2023-08-01 |
| publisher | Lodz University Press |
| record_format | Article |
| series | Bulletin of the Section of Logic |
| spelling | doaj.art-1adf1e20e42d4c529016e91e6ad12cf22024-01-04T12:28:23ZengLodz University PressBulletin of the Section of Logic0138-06802449-836X2023-08-0152444145810.18778/0138-0680.2023.1013129Fundamental Relation on HvBE-AlgebrasFarzad Iranmanesh0Mansour Ghadiri1Arsham Borumand Saeid2https://orcid.org/0000-0001-9495-6027University of Yazd, Department of Mathematics University of Yazd, Department of Mathematics Shahid Bahonar University of Kerman, Department of Pure Mathematics, Faculty of Mathematics and Computer In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation. We show that quotient of any \(H_{v}BE\)-algebra via a regular regulation is an \(H_{v}BE\)-algebra and this quotient, via any strongly relation is a \(BE\)-algebra. Furthermore, we investigate that under what conditions some relations on \(H_{v}BE\)-algebra are transitive relations.https://czasopisma.uni.lodz.pl/bulletin/article/view/13229(\(h_{v}\),\(hyper)be\)-algebrafundamental relationquotient |
| spellingShingle | Farzad Iranmanesh Mansour Ghadiri Arsham Borumand Saeid Fundamental Relation on HvBE-Algebras Bulletin of the Section of Logic (\(h_{v}\),\(hyper)be\)-algebra fundamental relation quotient |
| title | Fundamental Relation on HvBE-Algebras |
| title_full | Fundamental Relation on HvBE-Algebras |
| title_fullStr | Fundamental Relation on HvBE-Algebras |
| title_full_unstemmed | Fundamental Relation on HvBE-Algebras |
| title_short | Fundamental Relation on HvBE-Algebras |
| title_sort | fundamental relation on hvbe algebras |
| topic | (\(h_{v}\),\(hyper)be\)-algebra fundamental relation quotient |
| url | https://czasopisma.uni.lodz.pl/bulletin/article/view/13229 |
| work_keys_str_mv | AT farzadiranmanesh fundamentalrelationonhvbealgebras AT mansourghadiri fundamentalrelationonhvbealgebras AT arshamborumandsaeid fundamentalrelationonhvbealgebras |