# Category:Prime Ideals of Rings

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This category contains results about **Prime Ideals of Rings**.

Definitions specific to this category can be found in Definitions/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 $R$.

## Also see

## Subcategories

This category has only the following subcategory.

## Pages in category "Prime Ideals of Rings"

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