Note on distributive posets

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Date
2012Author
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http://hdl.handle.net/11012/19552Altmetrics
10.13164/ma.2012.13
http://hdl.handle.net/11012/19552
http://hdl.handle.net/11012/19552
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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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http://hdl.handle.net/11012/19552Document type
Peer reviewedDocument version
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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
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- 2012/2 [7]