A Generalization of the Łukasiewicz Algebras

  title={A Generalization of the Łukasiewicz Algebras},
  author={Teresa Almada and J{\'u}lia Vaz de Carvalho},
  journal={Studia Logica},
We introduce the variety ℒnm, m ≥ 1 and n ≥ 2, of m-generalized Łukasiewicz algebras of order n and characterize its subdirectly irreducible algebras. The variety ℒnm is semisimple, locally finite and has equationally definable principal congruences. Furthermore, the variety ℒnm contains the variety of Łukasiewicz algebras of order n. 

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