Demonstratio Mathematica (Sep 2015)

Free Algebras Over a Poset in Varieties of Łukasiewicz–Moisil Algebras

  • Orellano A. Figallo,
  • Gallardo C.

DOI
https://doi.org/10.1515/dema-2015-0024
Journal volume & issue
Vol. 48, no. 3
pp. 348 – 356

Abstract

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A general construction of the free algebra over a poset in varieties finitely generated is given in [8]. In this paper, we apply this to the varieties of Łukasiewicz-Moisil algebras, giving a detailed description of the free algebra over a finite poset (X, ≤) , Freen((X, ≤)). As a consequence of this description, the cardinality of Freen((X, ≤)). is computed for special posets.

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