Abstract.
It is shown that every finite modular lattice L with |L|≥2 contains a join-irreducible element x∈L such that at most |L|/2 elements y∈L satisfy y≥x.
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Received: September 22, 1995 / Revised: July 23, 1997
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Abe, T., Nakano, B. Frankl's Conjecture is True for Modular Lattices. Graphs Comb 14, 305–311 (1998). https://doi.org/10.1007/PL00021180
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DOI: https://doi.org/10.1007/PL00021180