Difference between revisions of "Domain (Ring theory)"
(New page: A ring, <math>R</math>, is an '''domain''' if: * <math>0\neq 1</math> (where <math>0</math> and <math>1</math> are the additive and multiplicative identities, respectively) * and it c...) |
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Latest revision as of 16:29, 5 September 2008
A ring, , is an domain if:
(where
and
are the additive and multiplicative identities, respectively)
- and it contains no zero divisors (i.e. there are no nonzero
such that
).
If is also commutative, than it is an integral domain.
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