Posets of finite functions

zbMath1352.06002MaRDI QIDQ907250

Konrad Pióro

Publication date: 25 January 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p3

zbMATH Keywords

partial functionsBruhat orderDedekind-MacNeille completionjoin-irreducible elementpartial injective functionsfinite functionsmatrix representation of functionmeet-irreducible elementposets of functionsposets of matricesRenner order

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Complete lattices, completions (06B23)

Cites Work

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• The MacNeille completion of the poset of partial injective functions
• Bases for the Bruhat-Chevalley order on all finite Coxeter groups
• Lattices and bases of Coxeter groups
• Order dimension, strong Bruhat order and lattice properties for posets
• Linear algebraic monoids.
• Combinatorics of Coxeter Groups

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