# Category:Definitions/Prime Ideals of Rings

This category contains definitions related to Prime Ideals of Rings.
Related results can be found in Category:Prime Ideals of Rings.

Let $R$ be a ring.

A prime ideal of $R$ is a proper ideal $P$ such that:

$I \circ J \subseteq P \implies I \subseteq P \text { or } J \subseteq P$

for any ideals $I$ and $J$ of $R$.

## Pages in category "Definitions/Prime Ideals of Rings"

The following 5 pages are in this category, out of 5 total.