Difference between revisions of "Domain (ring theory)"

(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...)
 
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[[Category:Ring theory]]

Revision as of 21:37, 21 September 2008

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.

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