Convex partitions of a finite lattice

• Autores: Scott R. Sykes
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 56, Nº. 3-4, 2007, págs. 349-356
• Idioma: inglés
• DOI: 10.1007/s00012-007-2006-4
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• Resumen

  • 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.