논문KCI 등재
Free algebras over a poset in varieties
대한수학회 (The Korean Mathematical Society)|2011.10|대한수학회논문집 (Communications of the KMS)|제26권 제4호|pp. 543-549
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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.
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.
참고문헌 (9)
- J. Berman, "Free Lukasiewicz and hoop residuation algebras", Studia Logica, 77(2), pp.153~180 (2004)
- S. Burris, "A Course in Universal Algebra, Graduate Texts in Mathematics" (1981), Springer-Verlag
- M. Canals Frau, "(n+1)-valued modal implicative semilattices, Proceed- ings of the 22nd International Symposium on Multipe Valued Logic", IEEE Computer Society, pp.198~205 (1992)
- A. Diego, "On implicative algebras", Rev. Un. Mat, 20, pp.310~311 (1962)
- A. Diego, "Sobre las algebras de Hilbert, Notas de Logica Matematica 12" (1965), Univ. Nac. del Sur, Bahꠕa
- A. Diego, "Sur les algebres de Hilbert, Collection de Logique Mathematique, Ser. A, Fasc. XXI" (1966), Gauthier-Villars, Paris; E. Nauwelaerts, Louvain
- R. P. Dilworth, "Lattices with unique complements, Trans", Amer. Math. Soc, 57, pp.123~154 (1945)
- A. Figallo, Jr, "Free algebras over a poset in varieties generated by a nite number of algebras", CLE e-Prints of the Centre for Logic, 9(3) (2009)
- A. Figallo, Jr, "Sobre la estructura ordenada de las algebras de Hilbert", 석사, pp.2006
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