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

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, ≤) , Free ((X, ≤)). As a consequence of thi...

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Veröffentlicht in:	Demonstratio mathematica 2015-09, Vol.48 (3), p.348-356
Hauptverfasser:	Orellano, A. Figallo, Gallardo, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	algebras free algebras over a poset Łukasiewicz-Moisil algebras
Online-Zugang:	Volltext
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Zusammenfassung:	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, ≤) , Free ((X, ≤)). As a consequence of this description, the cardinality of Free ((X, ≤)). is computed for special posets.
ISSN:	0420-1213 2391-4661
DOI:	10.1515/dema-2015-0024