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Sudhanshu Ranjan posted an Question
August 21, 2020 • 05:09 am 30 points
  • CSIR NET
  • Mathematical Sciences

Give an example of 1) trivial subring & 2) non trivial subring whose all subrings are ideals

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  • Shashi ranjan sinha best-answer

    2) The ring of integers is an example of non trivial ring whose all subrings are ideals of Z

  • Shashi ranjan sinha Best Answer

    1) In any trivial ring, whether it is zero or nonzero ring, all the subrings are ideals. Example : (Q,+,*) ,where * denotes the trivial product on Q

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