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http://dx.doi.org/10.4134/CKMS.2011.26.4.543

FREE ALGEBRAS OVER A POSET IN VARIETIES  

Figallo, Aldo Jr (Departamento de Matematic Universidad Nacional del Sur and Instituto de Ciencias Basica Universidad Nacional de San Juan)
Ziliani, Alicia (Departamento de Matematic Universidad Nacional del Sur and Instituto de Ciencias Basica Universidad Nacional de San Juan)
Publication Information
Communications of the Korean Mathematical Society / v.26, no.4, 2011 , pp. 543-549 More about this Journal
Abstract
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.
Keywords
free algebras; free algebras over a poset; varieties finitely generated;
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