Geodesic
Fundamental Relation on \((H_{v})BE\)-Algebras
Bulletin of the Section of Logic, Tome 52 (2023) no. 4, pp. 441-458.

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In this paper, we are going to introduce a fundamental relation on H_vBE-algebra and investigate some of properties, also construct new (H_v)BE-algebras via this relation. We show that quotient of any H_vBE-algebra via a regular regulation is an H_vBE-algebra and this quotient, via any strongly relation is a BE-algebra. Furthermore, we investigate that under what conditions some relations on H_vBE-algebra are transitive relations.
Keywords: (\(H_{v}\),\(Hyper)BE\)-algebra, fundamental relation, quotient 
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Iranmanesh, Farzad; Ghadiri, Mansour; Borumand Saeid, Arsham. Fundamental Relation on \((H_{v})BE\)-Algebras. Bulletin of the Section of Logic, Tome 52 (2023) no. 4, pp. 441-458. http://geodesic.mathdoc.fr/item/BSL_2023_52_4_a1/

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