Domain (ring theory)

Revision as of 20:37, 21 September 2008 by Boy Soprano II (talk | contribs) (category)

In ring theory, a ring $A$ is a domain if $ab = 0$ implies that $a=0$ or $b=0$, for all $a,b \in A$. Equivalently, $A$ is a domain if it has no zero divisors. If $A$ is commutative, it is called an integral domain.

This article is a stub. Help us out by expanding it.