Finite distributive lattices are congruence lattices of almost-geometric lattices |
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| Authors: | Gábor Czédli E. Tamás Schmidt |
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| Affiliation: | 1.Bolyai Institute,University of Szeged,Szeged,Hungary;2.Mathematical Institute of the Budapest University of Technology and Economics,Budapest,Hungary |
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| Abstract: | A semimodular lattice L of finite length will be called an almost-geometric lattice if the order J(L) of its nonzero join-irreducible elements is a cardinal sum of at most two-element chains. We prove that each finite distributive lattice is isomorphic to the lattice of congruences of a finite almost-geometric lattice. |
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