A note on supermodular sublattices in finite relatively complemented lattices

• Autores: Andrei Krokhin , Benoit Larose
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 59, Nº. 1-2, 2008, págs. 237-241
• Idioma: inglés
• DOI: 10.1007/s00012-008-2123-8
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• Resumen

  • A sublattice in a lattice is called supermodular if, for every two elements, one of which belongs to the sublattice, at least one of their meet and join also belongs to the sublattice. In this note, we describe supermodular sublattices in products of relatively complemented lattices.