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Every finite lattice can be embedded in a finite partition lattice

✍ Scribed by Pavel Pudlák; Jiří T⫲ma


Book ID
112759943
Publisher
Springer
Year
1980
Tongue
English
Weight
848 KB
Volume
10
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES


Not every finite lattice is embeddable i
✍ A.H Lachlan; R.I Soare 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 469 KB

## A certain lattice with eight elements is shown to be not embeddable as a lattice in the recursively enumerable degrees. This refutes the well-known Embedding Conjecture which asserted that every finite lattice could be so embedded.

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✍ Bernard Monjardet; Nathalie Caspard 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 603 KB

We study a dependence relation between the join-irreducible elements of a finite lattice that generalizes the classical perspectiuity relation between the atoms of a geometric lattice. This relation is useful in the axiomatic approach of latticial consensus problems, since if it is strongly connecte