A condition for modular lattices

• Autores: Jun Wang, Jun Wu
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 57, Nº. 4, 2007, págs. 491-496
• Idioma: inglés
• DOI: 10.1007/s00012-007-2064-7
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• Resumen

  • This paper proves that a geometric lattice of rank n is a modular lattice if its every maximal chain contains a modular element of rank greater than 1 and less than n. This result is generalized to a more general lattices of finite rank.