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- W2030819979 abstract "Let L be a bounded distributive lattice. For k ⩾1, let S k ( L ) be the lattice of k -ary functions on L with the congruence substitution property (Boolean functions); let S ( L ) be the lattice of all Boolean functions. The lattices that can arise as S k ( L ) or S ( L ) for some bounded distributive lattice L are characterized in terms of their Priestley spaces of prime ideals. For bounded distributive lattices L and M , it is shown that S 1 ( L )≅ S 1 ( M ) implies S k ( L )≅ S k ( M ). If L and M are finite, then S k ( L )≅ S k ( M ) implies L ≅ M . Some problems of Grätzer dating to 1964 are thus solved." @default.
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- W2030819979 date "2000-02-01" @default.
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- W2030819979 title "Functions on Distributive Lattices with the Congruence Substitution Property: Some Problems of Grätzer from 1964" @default.
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- W2030819979 doi "https://doi.org/10.1006/aima.1999.1854" @default.
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