๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Level sets in finite distributive lattices of breadth 3

โœ Scribed by Gerhard Gierz

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
872 KB
Volume
132
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 by a level set A of maximal cardinality, then A consists of all elements for which the rank is equal $ times the rank of the largest element of L.

๐Ÿ“œ SIMILAR VOLUMES

On the distribution of distances in fini
On the distribution of distances in finite sets in the plane
โœ K Vesztergombi ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 894 KB

Let n k denote the number of times the kth largest distance occurs among a set S of n points. We show that if S is the set of vertices of a convex polygone in the euclidean plane, then n1+2n2~3n and n2<~n +n 1. Together with the well-known inequality n~<~n and the trivial inequalities n~>~O and n2>~

Effects of heat shock on the distributio
Effects of heat shock on the distribution and expression levels of nuclear proteins in HeLa S3 cells
โœ Nisrine Haddad; Micheline Paulin-Levasseur ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 589 KB

## Abstract Cumulating evidence has led to the idea that nuclear functions such as DNA replication, RNA transcription, RNA splicing and nucleocytoplasmic transport are facilitated by a proteinaceous architectural framework within the nuclear compartment and at the nuclear envelope. In the present s