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Sudhanshu Ranjan posted an Question
August 22, 2020 • 06:06 am 30 points
  • CSIR NET
  • Mathematical Sciences

Do trivial rings have maximal ideal?

Do trivial rings have maximal ideal?...........................

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  • Shashi ranjan sinha Best Answer

    2) On the other hand, there do exist nonzero trivial ideal which has no maximal ideal. see the example

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  • Shashi ranjan sinha best-answer

    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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