Tense Polyadic N × M-Valued Łukasiewicz–Moisil Algebras

Bulletin of the Section of Logic 44 (3/4):155-181 (2015)
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Abstract

In 2015, A.V. Figallo and G. Pelaitay introduced tense n×m-valued Łukasiewicz–Moisil algebras, as a common generalization of tense Boolean algebras and tense n-valued Łukasiewicz–Moisil algebras. Here we initiate an investigation into the class tpLMn×m of tense polyadic n × m-valued Łukasiewicz–Moisil algebras. These algebras constitute a generalization of tense polyadic Boolean algebras introduced by Georgescu in 1979, as well as the tense polyadic n-valued Łukasiewicz–Moisil algebras studied by Chiriţă in 2012. Our main result is a representation theorem for tense polyadic n × m-valued Łukasiewicz–Moisil algebras.

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Monadic GMV-algebras.Jiří Rachůnek & Dana Šalounová - 2008 - Archive for Mathematical Logic 47 (3):277-297.
Notes on n × m-valued Łukasiewicz Algebras with Negation.Claudia Sanza - 2004 - Logic Journal of the IGPL 12 (6):499-507.

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