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If I and J are prime (radical) ideals then what are the conditions under which we can define a prime (radical) ideal from I+J?

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    $\begingroup$ You mean when is $I+J$ still radical? Cause otherwise take $\sqrt{I+J}$... $\endgroup$
    – Qfwfq
    Commented Sep 23, 2020 at 9:00
  • $\begingroup$ Yes when I+J is still radical. $\endgroup$
    – Iqra Khan
    Commented Sep 23, 2020 at 9:29

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