Filters of lattices with respect to a congruence
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 2
Abstract
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. Keywords: congruence, filter, closure operator, θ-filter, congruence lattice. 2010 Mathematics Subject Classification: 06D99.
Authors and Affiliations
Abd El-Mohsen Badawy, M. Sambasiva Rao
Keywords
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