Abstract
We introduce the variety ℒ n m, m ≥ 1 and n ≥ 2, of m-generalized Łukasiewicz algebras of order n and characterize its subdirectly irreducible algebras. The variety ℒ n m is semisimple, locally finite and has equationally definable principal congruences. Furthermore, the variety ℒ n m contains the variety of Łukasiewicz algebras of order n.
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Almada, T., Vaz de Carvalho, J. A Generalization of the Łukasiewicz Algebras. Studia Logica 69, 329–338 (2001). https://doi.org/10.1023/A:1013846725213
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DOI: https://doi.org/10.1023/A:1013846725213