Description

• Title:
  Tense Operators on BL-algebras and Their Applications
• Creator:
  Paad, Akbar
• Contributor:
  University of Bojnord, Department of Mathematics;
  akbar.paad@gmail.com
• Description:
  In this paper, the notions of tense operators and tense filters in \(BL\)-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense \(BL\)-algebras, tense \(MV\)-algebras and tense Boolean algebras are investigated. Moreover, it is shown that the set of all tense filters of a \(BL\)-algebra is complete sublattice of \(F(L)\) of all filters of \(BL\)-algebra \(L\). Also, maximal tense filters and simple tense \(BL\)-algebras and the relation between them are studied. Finally, the notions of tense congruence relations in tense \(BL\)-algebras and strict tense \(BL\)-algebras are introduced and an one-to-one correspondence between tense filters and tense congruences relations induced by tense filters are provided.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2021.11.05;
  2021.05.28
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;3;
  50
• Subject:
  (simple) tense BL-algebra;
  tense operators;
  tense filter;
  tense congruence
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/39685 ;
  2449-836X;
  10.18778/0138-0680.2021.11
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other