A short proof of the congruence representation theorem of rectangular lattices |
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| Authors: | G. Grätzer E. T. Schmidt |
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| Affiliation: | 1. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada
2. Mathematical Institute of the Budapest University of Technology and Economics, H-1521, Budapest, Hungary
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| Abstract: | In a 1998 paper with H. Lakser, the authors proved that every finite distributive lattice D can be represented as the congruence lattice of a finite semimodular lattice. Some ten years later, the first author and E. Knapp proved a much stronger result, proving the representation theorem for rectangular lattices. In this note we present a short proof of these results. |
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