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Distributive lattices determined by weighted double skeletons |
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| Authors: | Gábor Czédli Joanna Grygiel Katarzyna Grygiel |
| Institution: | 1. University of Szeged, Szeged, 6720, HUNGARY 2. Institute of Mathematics and Computer Science, Jan D?ugosz University of Cz?stochowa, Cz?stochowa, Poland 3. Theoretical Computer Science Department, Faculty of Mathematics and ComputerScience, Jagiellonian University, ul. Prof. ?ojasiewicza 6, 30-348, Kraków, Poland |
| Abstract: | Related to his S-glued sum construction, the skeleton S(L) of a finite lattice L was introduced by C. Herrmann in 1973. Our theorem asserts that if D is a finite distributive lattice and its second skeleton, S(S(D)), is the trivial lattice, then D is characterized by its weighted double skeleton, introduced by the second author in 2006. The assumption on the second skeleton is essential. |
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