Collection of Finite Lattices Generated by a Poset |
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| Authors: | Šešelja Branimir Tepavčević Andreja |
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| Affiliation: | (1) Fac. of Sci., Institute of Mathematics, University of Novi Sad, Trg D. Obradovi!["cacute"]("/content/h884251n4p3154m4/xlarge263.gif") a 4, 21000 Novi Sad, Yugoslavia |
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| 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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| Keywords: | finite distributive lattice finite lattice meet-irreducible representation of lattices |
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