An extension theorem for planar semimodular 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, Budapest University of Technology and Economics, Budapest, 1521, Hungary
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Abstract: | We prove that every finite distributive lattice (D) can be represented as the congruence lattice of a rectangular lattice (K) in which all congruences are principal. We verify this result in a stronger form as an extension theorem. |
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