A PAIR OF FOUR-ELEMENT HORIZONTAL GENERATING SETS OF A PARTITION LATTICE

A PAIR OF FOUR-ELEMENT HORIZONTAL GENERATING SETS OF A PARTITION LATTICE

Let \(\lfloor x \rfloor\) and \(\lceil x\rceil \) denote the lower integer part and the upper integer part of a real number \(x\), respectively. Our main goal is to construct four partitions of a finite set \(A\) with \(n\geq 7\) elements such that each of the four partitions has exactly \(\lceil n/...

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Bibliographic Details
Main Author: Gábor Czédli
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2025-07-01
Series:Ural Mathematical Journal
Subjects:
partition lattice, equivalence lattice, minimum-sized generating set, horizontal generating set, four-element generating set.
Online Access:https://umjuran.ru/index.php/umj/article/view/842
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