Authors: | Šešelja, Branimir Tepavčević, Andreja |
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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