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Displaying similar documents to “Coaxial filters of distributive lattices”

Filters of lattices with respect to a congruence

M. Sambasiva Rao, Abd El-Mohsen Badawy (2014)

Discussiones Mathematicae - General Algebra and Applications

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Some properties of filters on a lattice L are studied with respect to a congruence on L. The notion of a θ-filter of L is introduced and these filters are then characterized in terms of classes of θ. For distributive L, an isomorphism between the lattice of θ-filters of L and the lattice of filters of L / θ is obtained.