Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
For an n-valued Łukasiewicz-Moisil algebra L (or LM n-algebra for short) we denote by F n(L) the lattice of all n-filters of L. The goal of this paper is to study the lattice F n(L) and to give new characterizations for the meet-irreducible and completely meet-irreducible elements on F n(L).
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
470-483
Opis fizyczny
Daty
wydano
2007-09-01
online
2007-05-13
Twórcy
autor
- University of Craiova, Department of Mathematics, busneag@central.ucv.ro
autor
- University of Craiova, Department of Mathematics, chirtes@central.ucv.ro
Bibliografia
- [1] R. Balbes and Ph. Dwinger: Distributive Lattices, University of Missouri Press, 1974.
- [2] G. Birkhoff: Lattice theory, (3rd Edition, 2nd Printing), Amer. Math. Soc., Colloquium Publications XXV, 1973.
- [3] V. Boicescu, A. Filipoiu, G. Georgescu and S. Rudeanu: Łukasiewicz-Moisil Algebras, North Holland, 1991.
- [4] R. Cignoli: “Boolean multiplicative closures I y II”, P. Jpn. Acad., Vol. 42, (1965), pp. 1168–1174. http://dx.doi.org/10.3792/pja/1195521767
- [5] R. Cignoli: Algebras de Moisil de orden n, Thesis (PhD), Universidad National del Sur Bahía Blanca, 1969.
- [6] R. Cignoli: Moisil Algebras, Notas de Lógica Matemática, 27, Univ. National del Sur, Bahía Blanca, 1970.
- [7] G. Georgescu and M. Ploščcica: “Values and minimal spectrum of an algebric lattice”, Math. Slovaca, Vol. 52, (2002), pp. 247–253.
- [8] G. Grätzer: Lattice theory, W. H. Freeman and Company, San Francisco, 1979.
- [9] A. Iorgulescu: (1+0)-valued Łuksiewicz-Moisil algebras with negation, Thesis (PhD), Univ. of Bucharest, 1984.
- [10] Gr.C. Moisil: “Recherches sur les logiques non-chrysippienns,” An. Sci. Univ. Jassy, Vol. 26, (1940), pp. 195–232.
- [11] Gr.C. Moisil: “Applicationi dell’algebra alle calculatrici moderne”, In: Atti 2 a Reunione del Groupement des Math. d’Expression Latine, 26.IX-3.X.1961, Ed. Cremonese, Roma.
- [12] Gr.C. Moisil: “Łukasiewiczian algebras”, Preprint: Computing Center, Univ. Bucharest, 1968, pp. 311–324.
- [13] A. Monteiro: ”L’arithmétique des filtres et les espaces topologiques”, In:’ it Segundo Symposium Americano de Mat., Centro de Cooperatión Científica de la UNESCO para América Latina, Montevideo, 1954, pp. 129–162.
- [14] A. Monteiro: “Construction des algèbres de Łukasiewicz trivalentes dans les algèbres de Boole monadiques”, Math. Japon. Vol. 12, (1967), pp. 1–23.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-007-0012-6