Editing Prime ring (section)

== Examples ==

* Any [[domain (ring theory)|domain]] is a prime ring.
* Any [[simple ring]] is a prime ring, and more generally: every left or right [[primitive ring]] is a prime ring.
* Any [[matrix ring]] over an integral domain is a prime ring.  In particular, the ring of 2&thinsp;×&thinsp;2 integer [[matrix (mathematics)|matrices]] is a prime ring.
<!-- Apologies about deleting the prime PRIR example as incorrect: it might be correct. It'smm still not appropriate for the examples section. -->