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Math Help - quotient rings 2

  1. #1
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    quotient rings 2

    If R is an integral domain and ab=ac for a not equal to 0,b,c in R, show that b=c.

    Please show steps. Thanks!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mpryal View Post
    If R is an integral domain and ab=ac for a not equal to 0,b,c in R, show that b=c.

    Please show steps. Thanks!
    being in an integral domain means you have a commutative ring in which for x and y in the ring, xy = 0 implies x = 0 or y = 0

    with that in mind, consider ab - ac = 0
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