Description

• Title:
  On GE-algebras
• Creator:
  Bandaru, Ravikumar;
  Saeid, Arsham Borumand;
  Jun, Young Bae
• Contributor:
  Bandaru, Ravikumar - GITAM (Deemed to be University), Department of Mathematics, Hyderabad Campus, Telangana-502329, India;
  Saeid, Arsham Borumand - Shahid Bahonar University of Kerman, Department of Pure Mathematics, Faculty of Mathematics and Computer, Kerman, Iran;
  Jun, Young Bae - Gyeongsang National University, Department of Mathematics Educations, Jinju 52828, Korea;
  Bandaru, Ravikumar - ravimaths83@gmail.com;
  Saeid, Arsham Borumand - arsham@uk.ac.ir;
  Jun, Young Bae - skywine@gmail.com
• Description:
  Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive GE-algebras.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2021.05.05;
  2020.08.30
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  50
• Subject:
  (transitive) GE-algebra;
  filter;
  upper set;
  congruence kernel
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/35353 ;
  2449-836X;
  10.18778/0138-0680.2020.20
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other