Free algebras over a poset in varieties
Commun. Korean Math. Soc. 2011 Vol. 26, No. 4, 543-549
https://doi.org/10.4134/CKMS.2011.26.4.543
Published online December 1, 2011
Aldo Figallo, Jr. and Alicia Ziliani
Universidad Nacional de San Juan, Universidad Nacional de San Juan
Abstract : In 1945, the notion of free lattice over a poset was introduced by R. Dilworth (Trans. Am. Math. Soc. $\bf 57$ (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.
Keywords : free algebras, free algebras over a poset, varieties finitely generated
MSC numbers : 08B20, 06A12, 03G25
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