Note on distributive posets
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Paseka, Jan
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
In this note we study distributive posets. We discuss several notions of distributivity in posets and show their equivalence. Moreover, the Prime Ideal Theorem for Distributive Posets is shown to be equivalent with the famous Prime Ideal Theorem for Distributive Lattices using distributive ideal approach.
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Mathematics for Applications. 2012, 1, č. 2, s. 197-206. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/1_2/paseka_final.pdf
http://ma.fme.vutbr.cz/archiv/1_2/paseka_final.pdf
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Peer-reviewed
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en