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The collection of all elements below a given element forms a downset, which in this poset is an ideal.
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The collection of all elements below a given element forms a downset, which in this poset is an ideal.
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Related words
downset
Noun
Japanese Meaning
（数学）集合論におけるイデアル。これは、部分順序集合において、ある元が含まれるとき、その元以下のすべての要素も含むという性質を持つ集合を指します。
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