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