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Sudhanshu ranjan Asked a Question
August 12, 2020 5:35 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

If f is a onto ring homomorphism from r into s, image of a prime ideal of r is not prime ideal of s.why?

If f is a onto ring homomorphism from R into S, image of a prime ideal of R is not prime ideal of S.Why?
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  • Anonymous User Best Answer
    see the proof
    • cropped363035135892200707.jpg
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  • Anonymous User thankyou
    f-Image of a prime ideal I of ring R need not be prime ideal. It requires one more condition that Kernel f must be contained in I
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    Sudhanshu ranjan
    Why?
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