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Sudhanshu ranjan Asked a Question
August 22, 2020 12:36 ampts 30 pts
  • CSIR NET
  • Mathematical Sciences

Do trivial rings have maximal ideal?

Do trivial rings have maximal ideal?...........................
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  • Anonymous User Best Answer
    2) On the other hand, there do exist nonzero trivial ideal which has no maximal ideal. see the example
    • cropped8932932503498321199.jpg
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  • Anonymous User thankyou
    1) Since zero trivial ring has no proper ideal, so it has no maximal ideal because maximal ideals are proper ideals of a ring
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