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PostPosted: Sun Jun 26, 2016 6:27 am 
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Joined: Mon Nov 09, 2015 1:52 pm
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Check here first : Ideal of a ring.


Find all the associative rings \(\displaystyle{\left(R,+,\cdot\right)}\) with unity \(\displaystyle{1=1_{R}}\) such that :

\(\displaystyle{J(R)=\bigcap_{k\in K}M_{k}}\), where \(\displaystyle{\left\{M_{k}\in\mathbb{P}(R): k\in K\right\}}\) is the set of all the maximal ideals of the ring \(\displaystyle{\left(R,+,\cdot\right)}\) .


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