Domain (ring theory)
Revision as of 21:30, 21 September 2008 by Boy Soprano II (talk | contribs) (New page: In ring theory, a ring <math>A</math> is a '''domain''' if <math>ab = 0</math> implies that <math>a=0</math> or <math>b=0</math>, for all <math>a,b \in A</math>. Equivalently, <ma...)
In ring theory, a ring is a domain if
implies that
or
, for all
. Equivalently,
is a domain if it has no zero divisors. If
is commutative, it is called an integral domain.
This article is a stub. Help us out by expanding it.