Integral domain
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Integral domain
Let \(\displaystyle{\left(R,+,\cdot\right)}\) be a commutative ring with unity. If the local ring
\(\displaystyle{R_{p}}\) (localization of R to P) is an integral domain for every \(\displaystyle{P\in\rm{Spec}(R)}\),
then decide if the ring \(\displaystyle{\left(R,+,\cdot\right)}\) is an integral domain or not.
\(\displaystyle{R_{p}}\) (localization of R to P) is an integral domain for every \(\displaystyle{P\in\rm{Spec}(R)}\),
then decide if the ring \(\displaystyle{\left(R,+,\cdot\right)}\) is an integral domain or not.
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