Category:Prime Ideals (Order Theory)
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This category contains results about Prime Ideals (Order Theory) in the context of Order Theory.
Let $I$ be an ideal in an ordered set $S$.
Then $I$ is a prime ideal in $S$ if and only if $S \setminus I$ is a filter.
Also see
Pages in category "Prime Ideals (Order Theory)"
The following 13 pages are in this category, out of 13 total.
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F
I
- If Element Does Not Belong to Ideal then There Exists Prime Ideal Including Ideal and Excluding Element
- If Ideal and Filter are Disjoint then There Exists Prime Filter Including Filter and Disjoint from Ideal
- If Ideal and Filter are Disjoint then There Exists Prime Ideal Including Ideal and Disjoint from Filter