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Independent subsets in modular lattices of breadth two

✍ Scribed by Zs. Lengvárszky

Publisher: Akadmiai Kiad
Year: 1993
Tongue: English
Weight: 219 KB
Volume: 61
Category: Article
ISSN: 1588-2632
DOI: 10.1007/bf01872103

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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