On extensions of ideals in posets (Q947819)
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scientific article; zbMATH DE number 5349296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On extensions of ideals in posets |
scientific article; zbMATH DE number 5349296 |
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On extensions of ideals in posets (English)
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7 October 2008
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The paper deals with various kinds of order ideals of ordered sets (posets) and with their extensions. The author, e.g., characterizes distributive posets by means of extensions of normal ideals. Futher he introduces \(n\)-prime ideals and \(k\)-closed ideals of posets and shows that they are in fact equivalent.
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poset
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prime poset
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distributive poset
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\(n\)-prime ideal
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\(k\)-closed ideal
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order ideals
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