The Induced Partial Order on the set of Finite Subsets of a Partially Ordered Set

Let X be a partially ordered set and X be the set of all finite subsets of X. We introduce a partial order on X, which is canonically induced by the partial order on X. We study the interrelations between these two orders and find out a few properties shared by both.

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Bibliographic Details
Published in:American journal of mathematical and management sciences 2002-02, Vol.22 (3-4), p.227-232
Main Authors: Singhi, N. M., Vijayakumar, G. R., Devi, N. Usha
Format: Article
Language:English
Subjects:
antichains
chains
monotone sequences in partially ordered sets
partial order
Citations: Items that this one cites
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Description
Summary:Let X be a partially ordered set and X be the set of all finite subsets of X. We introduce a partial order on X, which is canonically induced by the partial order on X. We study the interrelations between these two orders and find out a few properties shared by both.
ISSN:0196-6324
2325-8454
DOI:10.1080/01966324.2002.10737588