Noetherian and artinian part 6 Nil and Nilpotent Ideal algebra MSc mathematics|Mathematise Yourself

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(partb)if R has no non zero nilpotent ideal then prove R has no non zero nil ideal. (partb)if R has no non zero nilpotent ideal then prove R has no non zero nil ideal.
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Sum of nilpotent ideals is again a nilpotent ideal. Sum of nilpotent ideals is again a nilpotent ideal.
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