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Finite distributive lattices projective in the class of all modular lattices

โœ Scribed by Aleit Mitschke; Rudolf Wille


Book ID
112760623
Publisher
Springer
Year
1976
Tongue
English
Weight
441 KB
Volume
6
Category
Article
ISSN
0002-5240

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๐Ÿ“œ SIMILAR VOLUMES


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The following conjecture of U Faigle and B Sands is proved: For every number R > 0 there exists a number n(R) such that if 2 is a finite distributive lattice whose width w(Z) (size of the largest antichain) is at least n(R), then IZ/a Rw(Z). In words this says that as one considers ~ increasingly la

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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