FREE ALGEBRAS OVER A POSET IN VARIETIES

FREE ALGEBRAS OVER A POSET IN VARIETIES

In 1945, the notion of free lattice over a poset was introduced by R. Dilworth (Trans. Am. Math. Soc. 57 (1945), 123-154). In this note, a construction of the free algebra over a poset in varieties finitely generated is shown. Finally, this result is applied to different classes of algebras. KCI Cit...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2011, 26(4), , pp.543-549
Hauptverfasser: Figallo, Aldo Jr, Ziliani, Alicia
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:In 1945, the notion of free lattice over a poset was introduced by R. Dilworth (Trans. Am. Math. Soc. 57 (1945), 123-154). In this note, a construction of the free algebra over a poset in varieties finitely generated is shown. Finally, this result is applied to different classes of algebras. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2011.26.4.543