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Posets, near unanimity functions and zigzags

Published online by Cambridge University Press:  17 April 2009

László Zádori
László Zádori
Affiliation:
Jóssef Attila Tudom-anyegyetem Bolyai Intéset Aradi vértanúk tere 1 H-6720 Szeged, Hungary
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Abstract

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With every poset we associate a class of coloured posets called zigzags. By means of zigzags we show that, if we delete a convex set from a finite lattice ordered set then the resulting poset has the strong selection property. We give the complete list of finite bounded irreducible posets admitting an n-ary near unanimity function, provided n ≤ 6. We present some examples and classes of posets with full descriptions of their zigzags.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 79 - 93
Copyright
Copyright © Australian Mathematical Society 1993

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