|Title:||On generation of finite posets by meet-irreducibles||Journal:||Discrete Mathematics||Volume:||186||Issue:||1-3||First page:||269||Last page:||275||Issue Date:||15-May-1998||Rank:||M23||ISSN:||0012-365X||DOI:||10.1016/S0012-365X(97)00196-9||Abstract:||
Necessary and sufficient conditions for a finite poset and a finite distributive lattice to have isomorphic posets of meet-irreducible elements are given. Hence, it is proved that every finite partially ordered set with a given poset of meet-irreducibles is order-embeddable into the corresponding finite distributive lattice.
|Keywords:||Meet-irreducible | Partially ordered set||Publisher:||Elsevier|
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