Left-modular elements

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dc.creatorLiu, Shu-Chung
dc.creatorSagan, Bruce
dc.date2000-01-10
dc.date.accessioned2026-07-07T04:33:17Z
dc.date.available2026-07-07T04:33:17Z
dc.descriptionLeft-modularity is a concept that generalizes 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 Partial Factorization Theorem for a geometric lattice with a modular element. Both formulae provide us with inductive proofs of Blass and Sagan's Total Factorization Theorem for LL lattices. The characteristic polynomials and Mobius functions of non-crossing partition lattices and shuffle posets are computed as examples.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0001055
dc.identifierhttp://arxiv.org/abs/math/0001055
dc.identifierJ. Combin. Theory (A) 91 (2000), 369-385.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58514
dc.subjectCombinatorics
dc.subject06C10
dc.titleLeft-modular elements
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