Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2011; 26(4): 543-549

Printed December 1, 2011

https://doi.org/10.4134/CKMS.2011.26.4.543

Copyright © The Korean Mathematical Society.

Free algebras over a poset in varieties

Aldo Figallo, Jr. and Alicia Ziliani

Universidad Nacional de San Juan, Universidad Nacional de San Juan

Abstract

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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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