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A Priestley Sum of Finite Trees is Acyclic |
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| Authors: | Richard N. Ball Aleš Pultr Jiří Sichler |
| Affiliation: | (1) Department of Mathematics, University of Denver, Denver, CO 80208, USA;(2) Department of Applied Mathematics and ITI, MFF, Charles University, CZ 11800 Praha 1, Malostranské nám., 25, Czech Republic;(3) Department of Mathematics, University of Manitoba, Winnipeg, Canada, R3T 2N2 |
| Abstract: | We show that the Priestley sum of finite trees contains no cyclic finite poset. The first author would like to express his thanks for support from project LN 1M0021620808 of the Ministry of Education of the Czech Republic. The second author would like to express his thanks for support from project 1M0021620808 of the Ministry of Education of the Czech Republic, from the NSERC of Canada and from a PROF grant from the University of Denver. The third author would like to express his thanks for the support from the NSERC of Canada and for partial support from the project 1M0021620808 of the Ministry of Education of the Czech Republic. |
| Keywords: | Distributive lattice Priestley duality Poset Graph |
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