Description

• Title:
  A Topological Approach to Tense LMn×m-Algebras
• Creator:
  Figallo, Aldo V.;
  Pascual, Inés;
  Pelaitay, Gustavo
• Contributor:
  Figallo, Aldo V. - Universidad Nacional de San Juan, Instituto de Ciencias Básicas;
  Pascual, Inés - Universidad Nacional de San Juan, Instituto de Ciencias Básicas;
  Pelaitay, Gustavo - Universidad Nacional de San Juan, Instituto de Ciencias Básicas;
  Figallo, Aldo V. - avfigallo@gmail.com;
  Pascual, Inés - ipascual756@hotmail.com;
  Pelaitay, Gustavo - gpelaitay@gmail.com
• Description:
  In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible tense LMn×m-algebras.
• Object availability:
  free access
• Rights: http://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2021.05.05;
  2020.03.30
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  49
• Subject:
  Priestley-style topological duality;
  Priestley spaces;
  tense De Morgan algebras;
  Tense LMn×m-algebras
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/35370 ;
  2449-836X;
  10.18778/0138-0680.2020.02
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other