Matching in modular lattices |
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Authors: | Dwight Duffus |
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Affiliation: | Department of Mathematics, Emory University, Atlanta, Georgia 30322 USA |
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Abstract: | Let L be a finite lattice. A map f of the join irreducible elements of L to the meet irreducible elements of L is called a matching of L if f is one-to-one and x?f(x) for each join irreducible x. We investigate this conjecture: every finite modular lattice has a matching. The conjecture is verified for certain classes of modular lattices. |
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