Isomorphic ANTI-cores of caccc posets
type: Item
instance of: scholarly article
title: Isomorphic ANTI-cores of caccc posets
zbMATH Open document ID: 0897.06005
DOI: 10.1016/S0012-365X(96)00285-3
published in: Discrete Mathematics
publication date: 1998-10-19T00:00:00Z
review text: The notions of an ANTI-order of a poset \(P\) (a special kind of a quasi-order on \(P)\), of an ANTI-perfect sequence and of an ANTI-core of \(P\) have been introduced by \textit{B. Li} [Discrete Math. 158, 173-184 (1996; Zbl 0859.06002)] in connection with the investigation of the fixed point property of \(P\). In the paper under review, the authors show that for some connected chain-complete and conditionally antichain-complete posets any two ANTI-perfect sequences have the same length and that their ANTI-cores are unique up to isomorphism.
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 1109966
zbMATH Keywords: caccc poset
zbMATH Keywords: ANTI-order
zbMATH Keywords: ANTI-perfect sequence
zbMATH Keywords: ANTI-core
zbMATH Keywords: fixed point property
zbMATH Keywords: chain-complete
zbMATH Keywords: conditionally antichain-complete
author: Boyu Li
author: Eric C. Milner
reviewed by: Jiří Rachůnek
MaRDI profile type: Publication
cites work: The ANTI-order for caccc posets. I
cites work: The ANTI-order for caccc posets. II
cites work: The ANTI-order and the fixed point property for caccc posets
cites work: Fixed point property for 11-element sets
description: scientific article; zbMATH DE number 1109966