About generalized ideals in a distributive lattice |
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Authors: | Nieminen Juhani |
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Affiliation: | (1) Dept. of theor. mech., Technical university of Tampere, Pyynikintie 2, 33230 Tampere 23, Finland |
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Abstract: | Let L be a distributive lattice characterized by a ternary operation (, ,), where (a,b,c)=(a b) (b c) (a c)=(a b) (a c) (b c), a,b,c L. 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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