Fundamental Relation on HvBE-Algebras
DOI:
https://doi.org/10.18778/0138-0680.2023.10Keywords:
(\(H_{v}\),\(Hyper)BE\)-algebra, fundamental relation, quotientAbstract
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.
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