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A property of matrices over ordered sets

✍ Scribed by Xian-tu Peng


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
149 KB
Volume
19
Category
Article
ISSN
0165-0114

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✦ Synopsis


We give a property of matrices over ordered sets, whereby the second open problem of Kim and Roush (1980) is solved.


πŸ“œ SIMILAR VOLUMES


Extensions of ordered sets having the fi
✍ John Ginsburg πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 892 KB

Let P be an ordered set. P is said to have the finite cutset property if for every x in P there is a finite set F of elements which are noncomparable to x such that every maximal chain in P meets {x} t.J F. It is well known that this property is equivalent to the space of maximal chains of P being c