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...

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Bibliographic Details
Main Authors: Farzad Iranmanesh, Mansour Ghadiri, Arsham Borumand Saeid
Format: Article
Language:English
Published: Lodz University Press 2023-08-01
Series:Bulletin of the Section of Logic
Subjects:
Online Access:https://czasopisma.uni.lodz.pl/bulletin/article/view/13229
Description
Summary: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.
ISSN:0138-0680
2449-836X