Geodesic
A Topological Approach to Tense LMn×m-Algebras
Bulletin of the Section of Logic, Tome 49 (2020) no. 1 Cet article a éte moissonné depuis la source Library of Science

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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.
Keywords: Priestley-style topological duality, Priestley spaces, tense De Morgan algebras, Tense LMn×m-algebras 
@article{BSL_2020_49_1_a0,
     author = {Figallo, Aldo V. and Pascual, In\'es and Pelaitay, Gustavo},
     title = {A {Topological} {Approach} to {Tense} {LMn{\texttimes}m-Algebras}},
     journal = {Bulletin of the Section of Logic},
     year = {2020},
     volume = {49},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2020_49_1_a0/}
}
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Figallo, Aldo V.; Pascual, Inés; Pelaitay, Gustavo. A Topological Approach to Tense LMn×m-Algebras. Bulletin of the Section of Logic, Tome 49 (2020) no. 1. http://geodesic.mathdoc.fr/item/BSL_2020_49_1_a0/