The prime filter theorem of lattice implication algebras.
Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Dumitru Buşneag, Florentina Chirteş (2007)
Open Mathematics
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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).
Yallaoui, El-Bachir (1993)
International Journal of Mathematics and Mathematical Sciences
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Iseki, Kiyoshi (1950)
Portugaliae mathematica
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B. Banaschewski (1964)
Fundamenta Mathematicae
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Jun, Young Bae (2000)
International Journal of Mathematics and Mathematical Sciences
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Vlad, Carmen D. (1991)
International Journal of Mathematics and Mathematical Sciences
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Carstens, Allan M. (1973)
Portugaliae mathematica
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R. Brooks (1967)
Fundamenta Mathematicae
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Y. B. Jun, Yang Xu (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.