The prime filter theorem of lattice implication algebras.
Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Lattice operators and topologies.”
The prime filter theorem of lattice implication algebras.
On the lattice of n-filters of an LM n-algebra
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).
On normal and strongly normal lattices.
Yallaoui, El-Bachir (1993)
International Journal of Mathematics and Mathematical Sciences
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On disjunction property of lattice
Iseki, Kiyoshi (1950)
Portugaliae mathematica
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On lattice-ordered groups
B. Banaschewski (1964)
Fundamenta Mathematicae
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Fantastic filters of lattice implication algebras.
Jun, Young Bae (2000)
International Journal of Mathematics and Mathematical Sciences
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Remarks on semiseparation of lattices.
Vlad, Carmen D. (1991)
International Journal of Mathematics and Mathematical Sciences
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The lattice of pseudotopologies on S
Carstens, Allan M. (1973)
Portugaliae mathematica
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On Wallman compactifications
R. Brooks (1967)
Fundamenta Mathematicae
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Roughness of Filters in Lattice Implication Algebras
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.