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Jan 13, 2014 at 12:01 history edited Sasha Anan'in CC BY-SA 3.0
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Jan 13, 2014 at 11:56 comment added Sasha Anan'in @Murphy $I$ is not maximal in the absolute sense. It is maximal with the property $r\notin I$. I will edit my answer.
Jan 13, 2014 at 4:03 comment added Murphy Why if $r\neq0$ the Zorn lemma implies that there is a maximal ideal I such that $r\notin I$?, if this is is true then the Jacobson radical is always zero.
Jan 12, 2014 at 19:52 vote accept Robert M
Jan 12, 2014 at 19:33 history answered Sasha Anan'in CC BY-SA 3.0