# Category:Prime Ideals (Order Theory)

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.

## Pages in category "Prime Ideals (Order Theory)"

The following 13 pages are in this category, out of 13 total.