Ravi posted an Question
July 27, 2020 • 18:03 pm 20 points
  • CSIR NET
  • Mathematical Sciences

Is maximal ideal of a ring necessarily a prime ideal?

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  • Shashi ranjan sinha Best Answer

    See this example for the case of general ring

    cropped3821222460099072346.jpg
  • Shashi ranjan sinha best-answer

    In a commutative ring with unity, every maximal ideal is a necessarily a prime ideal but this is not necessarily true in a general ring.

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