A Topological Approach to Tense LMn×m-Algebras | Zendy

Aldo V. Figallo | Zendy; Inés Pascual | Zendy; Gustavo Pelaitay | Zendy

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A Topological Approach to Tense LMn×m-Algebras

Author(s) -

Aldo V. Figallo,

Inés Pascual,

Gustavo Pelaitay

Publication year - 2020

Publication title -

bulletin of the section of logic

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.225

H-Index - 13

eISSN - 2449-836X

pISSN - 0138-0680

DOI - 10.18778/0138-0680.2020.02

Subject(s) - duality (order theory) , mathematics , congruence relation , generalization , past tense , pure mathematics , algebra over a field , linguistics , philosophy , verb , mathematical analysis

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.

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