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Math Help - Ring problem with zero divisors

  1. #1
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    Ring problem with zero divisors

    Does every ring with 1001 elements contain zero divisors?
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  2. #2
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    Quote Originally Posted by ashamrock415 View Post
    Does every ring with 1001 elements contain zero divisors?

    Yes, otherwise it'd be a field - a finite ring without zero divisors is a division ring and thus a field (this is not trivial!) - , but 1001=7\cdot 11\cdot 13 is not the power of a prime...

    Tonio
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