The restricted partition lattices
type: Item
instance of: scholarly article
title: The restricted partition lattices
published in: Journal of Algebraic Combinatorics
publication date: 2021-05-11T00:00:00Z
review text: It was known that the equivalence relations of a finite set can be identified with partitions on the set, and these partitions form a lattice under appropriate operations. In this paper, the author originally studies a new lattice where the underlying equivalence relations are special in the sense that some fixed elements are not permitted to be equivalent.
reviewed by: Fang Jie
Mathematics Subject Classification ID: 06C10
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 7347316
zbMATH Keywords: finite set partition lattice
zbMATH Keywords: equivalence lattice
zbMATH Keywords: semimodular lattice
zbMATH Keywords: Möbius function
author: István Mező
MaRDI profile type: Publication
full work available at URL: s10801-019-00917-3
OpenAlex ID: W2982158731
cites work: Q3050437
cites work: Chains, antichains, and complements in infinite partition lattices
cites work: \(p\)-adic properties of Lengyel's numbers
cites work: The \(r\)-Stirling numbers
cites work: The size of the largest antichain in the partition lattice
cites work: Large antichains in the partition lattice
cites work: How small can a lattice of order-dimension n be?
cites work: Q4320535
cites work: Lattice Theory: Foundation
cites work: On a recurrence involving Stirling numbers
cites work: The $r$-Bell numbers
cites work: Q4344108
DOI: 10.1007/S10801-019-00917-3
Recommended article: Q3160624
Recommended article: The lattice of finite subspace partitions
Recommended article: The lattice theory of \(r\)-ordered partitions
Recommended article: Q4012031
Recommended article: Q4323521
Recommended article: Characterizations of partition lattices
Recommended article: Convex partitions of a finite lattice
Recommended article: Lattices on simplicial partitions
Recommended article: Q4849838
Recommended article: Q4841046
description: scientific article; zbMATH DE number 7347316