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Math Help - Can you find any rings with different additive and the same multipliaction operation?

  1. #1
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    Can you find any rings with different additive and the same multipliaction operation?

    HELLO ALL !
    Are there any rings with different additive and the same multipliaction operation ?

    THANK YOU !
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  2. #2
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    Re: Can you find any rings with different additive and the same multipliaction operat

    How about
    1) The set of integers with the usual addition and multiplication.
    2) The set of integrs with the usual multiplication and addition given by a\circ+ b= 2(a+b) where the addition on the right is the usual addition.
    Last edited by HallsofIvy; August 4th 2012 at 02:32 PM.
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  3. #3
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    Re: Can you find any rings with different additive and the same multipliaction operat

    Thank you very much !
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