Difference between revisions of "Domain (ring theory)"

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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, <math>A</math> is a domain if it has no [[zero divisor]]s.  If <math>A</math> is commutative, it is called an '''[[integral domain]]'''.
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{{redirect|Domain (Ring Theory)}}
 
 
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[[Category:Ring theory]]
 

Revision as of 22:54, 2 November 2021