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Modular elements of higher-weight dowling lattices

✍ Scribed by Joseph E. Bonin

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 568 KB
Volume: 119
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90113-8

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Left-modularity is a concept that generalizes the notion of modularity in lattice theory. In this paper, we give a characterization of left-modular elements and derive two formulae for the characteristic polynomial, /, of a lattice with such an element, one of which generalizes Stanley's theorem [6]