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About generalized ideals in a distributive lattice
Authors:Nieminen Juhani
Institution:(1) Dept. of theor. mech., Technical university of Tampere, Pyynikintie 2, 33230 Tampere 23, Finland
Abstract:Let L be a distributive lattice characterized by a ternary operation (, ,), where (a,b,c)=(acupb)cap(bcupc)cap(acupc)=(acapb)cup(acapc)cup(bcapc), a,b,cisinL. The note considers convex sublattices of L, called generalized ideals of L generated by the operation (, ,). Some remarks have been stated about the graph of a distributive lattice.
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