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The lattice of strict completions of a poset

โœ Scribed by G.H. Bordalo; B. Monjardet


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
217 KB
Volume
5
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES


Partitions of a finite three-complete po
โœ Shiojenn Tseng; Muh-Chyi Horng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 549 KB

Let P be a finite poset covered by three nonempty disjoint chains 7"1, T2, and T3. Suppose that p and q are different members of P. Also, P has the property that if p and q are in different chains and p < q, then P ---above{p} u below{q}. D.E. Daykin and J.W. Daykin (1985) made the conjecture: "Ther

Perfect sequences of chain-complete pose
โœ Jonathan David Farley ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 977 KB

The formation of a perfect sequence for a chain-complete poset generalizes the process of dismantling a finite poset by irreducibles. In the finite case, according to a theorem of Duffus and Rival, the end result, or 'core,' is unique up to isomorphism, no matter how the poset is dismantled. For cha