For any finite semimodular lattice L, this paper provides an algorithm that constructs all minimal covering-preserving embeddings of L into geometric lattices, and proves these embeddings have exactly |J(L)| atoms and the same length as L.
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The best extending cover-preserving geometric lattices of semimodular lattices
For any finite semimodular lattice L, this paper provides an algorithm that constructs all minimal covering-preserving embeddings of L into geometric lattices, and proves these embeddings have exactly |J(L)| atoms and the same length as L.