Abstract | ||
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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. (C) 1998 Elsevier Science B.V. All rights reserved. |
Year | DOI | Venue |
---|---|---|
1998 | 10.1016/S0012-365X(97)00196-9 | Discrete Mathematics |
Keywords | Field | DocType |
partially ordered set,distributive lattice | Discrete mathematics,Congruence lattice problem,Combinatorics,Distributive lattice,Birkhoff's representation theorem,Isomorphism,Star product,Partially ordered set,Mathematics | Journal |
Volume | Issue | ISSN |
186 | 1-3 | 0012-365X |
Citations | PageRank | References |
2 | 0.78 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Branimir Šešelja | 1 | 170 | 23.33 |
Andreja Tepavcevic | 2 | 143 | 22.67 |