Free algebras over a poset in varieties of Łukasiewicz-Moisil algebras

• Autorzy: Figallo Orellano A. , Gallardo C.

Identyfikatory

DOI

10.1515/dema-2015-0024

• Języki publikacji: EN

Abstrakty

EN

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 n ((X, ≤)). As a consequence of this description, the cardinality of Free n ((X, ≤)) is computed for special posets.

Słowa kluczowe

EN

algebras; free algebras over a poset; Łukasiewicz–Moisil algebras

PL

algebra; zbiór częściowo uporządkowany; poset; algebra Łukasiewicza-Moisila

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 3
• Strony: 348--356
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Figallo Orellano A.

• Departamento de Matemática, Universidad Nacional Del Sur, Argentina

autor

Gallardo C.

• Departamento de Matemática, Universidad Nacional Del Sur, Argentina

Bibliografia

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