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Sudhanshu Ranjan posted an Question
August 12, 2020 • 23:05 pm 30 points
  • 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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  • Shashi ranjan sinha best-answer

    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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