The restricted partition lattices

DOI10.1007/s10801-019-00917-3OpenAlexW2982158731MaRDI QIDQ2025142

István Mezö

Publication date: 11 May 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-019-00917-3

zbMATH Keywords

Möbius functionsemimodular latticeequivalence latticefinite set partition lattice

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Semimodular lattices, geometric lattices (06C10) Complemented lattices, orthocomplemented lattices and posets (06C15)

Cites Work

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• The \(r\)-Stirling numbers
• On a recurrence involving Stirling numbers
• The size of the largest antichain in the partition lattice
• Chains, antichains, and complements in infinite partition lattices
• How small can a lattice of order-dimension n be?
• The $r$-Bell numbers
• Lattice Theory: Foundation
• Large antichains in the partition lattice

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