Description

• Title:
  Fundamental Relation on HvBE-Algebras
• Creator:
  Iranmanesh, Farzad;
  Ghadiri, Mansour;
  Borumand Saeid, Arsham
• Contributor:
  Iranmanesh, Farzad - University of Yazd, Department of Mathematics;
  Ghadiri, Mansour - University of Yazd, Department of Mathematics;
  Borumand Saeid, Arsham - Shahid Bahonar University of Kerman, Department of Pure Mathematics, Faculty of Mathematics and Computer;
  Iranmanesh, Farzad - farzad.iranmanesh67@gmail.com;
  Ghadiri, Mansour - mghadiri@yazd.ac.ir;
  Borumand Saeid, Arsham - arsham@uk.ac.ir
• 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.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2024.01.04;
  2023.08.09
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;4;
  52
• Subject:
  (\(H_{v}\),\(Hyper)BE\)-algebra;
  fundamental relation;
  quotient
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/49158 ;
  2449-836X;
  10.18778/0138-0680.2023.10
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other