Tense Operators on BL-algebras and Their Applications Cover Image

Tense Operators on BL-algebras and Their Applications
Tense Operators on BL-algebras and Their Applications

Author(s): Akbar Paad
Subject(s): Logic
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: (simple) tense BL-algebra;tense operators;tense filter;tense congruence

Summary/Abstract: In this paper, the notions of tense operators and tense lters 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 lters 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.

  • Issue Year: 50/2021
  • Issue No: 3
  • Page Range: 299-324
  • Page Count: 26
  • Language: English