A Topological Approach to Tense LMn×m-Algebras

Aldo V. Figallo; Inés Pascual; Gustavo Pelaitay

Bulletin of the Section of Logic (2020)

  • Volume: 49, Issue: 1
  • ISSN: 0138-0680

Abstract

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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.

How to cite

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Aldo V. Figallo, Inés Pascual, and Gustavo Pelaitay. "A Topological Approach to Tense LMn×m-Algebras." Bulletin of the Section of Logic 49.1 (2020): null. <http://eudml.org/doc/295572>.

@article{AldoV2020,
abstract = {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.},
author = {Aldo V. Figallo, Inés Pascual, Gustavo Pelaitay},
journal = {Bulletin of the Section of Logic},
keywords = {Priestley-style topological duality; Priestley spaces; tense De Morgan algebras; Tense LMn×m-algebras},
language = {eng},
number = {1},
pages = {null},
title = {A Topological Approach to Tense LMn×m-Algebras},
url = {http://eudml.org/doc/295572},
volume = {49},
year = {2020},
}

TY - JOUR
AU - Aldo V. Figallo
AU - Inés Pascual
AU - Gustavo Pelaitay
TI - A Topological Approach to Tense LMn×m-Algebras
JO - Bulletin of the Section of Logic
PY - 2020
VL - 49
IS - 1
SP - null
AB - 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.
LA - eng
KW - Priestley-style topological duality; Priestley spaces; tense De Morgan algebras; Tense LMn×m-algebras
UR - http://eudml.org/doc/295572
ER -

References

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