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Every finite lattice in( mathcal{V} (M_3) )

โœ Scribed by JohnW. Snow


Book ID
105754195
Publisher
Springer
Year
2003
Tongue
English
Weight
186 KB
Volume
50
Category
Article
ISSN
0002-5240

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๐Ÿ“œ SIMILAR VOLUMES


Not every finite lattice is embeddable i
โœ A.H Lachlan; R.I Soare ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

Level sets in finite distributive lattic
โœ Gerhard Gierz ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 872 KB

A level set in a distributive lattice consists of all elements of a certain fixed rank r. In this note we give a characterization of maximal level sets in distributive lattices of breadth 3. Several applications are given, one of which shows that if a distributive lattice L of breadth 3 is generated