| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | Collection of Finite Lattices Generated by a Poset | Journal: | Order: A Journal on the Theory of Ordered Sets and its Applications | Volume: | 17 | Issue: | 2 | First page: | 129 | Last page: | 139 | Issue Date: | 1-Jan-2000 | Rank: | M23 | ISSN: | 0167-8094 | DOI: | 10.1023/A:1006473619786 | 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. |
Keywords: | Finite distributive lattice | Finite lattice | Meet-irreducible | Representation of lattices | Publisher: | Springer Link |
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