Abstract
It is proved that the collection of all finite lattices with the same partially ordered set of meet-irreducible elements can be ordered in a natural way so that the obtained poset is a lattice. Necessary and sufficient conditions under which this lattice is Boolean, distributive and modular are given.
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Šešelja, B., Tepavčević, A. Collection of Finite Lattices Generated by a Poset. Order 17, 129–139 (2000). https://doi.org/10.1023/A:1006473619786
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DOI: https://doi.org/10.1023/A:1006473619786
