Convex partitions of a finite lattice |
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Authors: | Scott R. Sykes |
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Affiliation: | (1) Mathematics Department, University of West Georgia, Carrollton, GA 30117, USA |
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Abstract: | The purpose of this paper is to introduce the lattice of convex partitions for a lattice L. Then we will show some properties of this lattice. Finally, we will show that if the convex partition lattice of L is finite and modular if and only if L is a finite chain. Presented by R. McKenzie. Received December 16, 2004; accepted in final form March 7, 2006. |
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Keywords: | Primary: 06B05 Secondary: 06A05 |
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