Geodesic
Coherent lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 287-299

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The notion of coherent lattices is introduced and established relations between a coherent lattice and that of a generalized Stone lattice, Boolean algebra, quasi-complemented lattice, and normal lattice. A set of equivalent conditions is given for every sublattice of a lattice to become a coherent lattice. Some equivalent conditions are given for every interval of a lattice to become a coherent sublattice. Coherent lattices are characterized with the help of certain properties of filters and dense elements.
Keywords: Coherent lattice, generalized Stone lattice, Boolean algebra, quasi-complemented lattice, normal lattice 
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Sambasiva Rao, M.; Siva Rama Raju, S. V. Coherent lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 287-299. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_2_a3/