Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2010.05.26
  • Published : 2011.10.31
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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.

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References

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Cited by

  1. Free Algebras Over a Poset in Varieties of Łukasiewicz–Moisil Algebras vol.48, pp.3, 2015, https://doi.org/10.1515/dema-2015-0024
  2. Notes on the Variety of Ternary Algebras vol.04, pp.09, 2014, https://doi.org/10.4236/apm.2014.49057