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Sudhanshu Ranjan posted an Question
August 11, 2020 • 23:24 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Show that the ideal generated generated by x and 2 is not principal ideal

Show that the ideal generated generated by x and 2 is not Principal ideal

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  • Shashi ranjan sinha best-answer

    Since Z[x] has a non principal ideal, Z[x] is not PID (however Z is PID).This provides you an example of the fact that R is PID but R[x] need not be necessarily PID

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