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Math Help - Ideals of Rings

  1. #1
    Junior Member
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    Ideals of Rings

    let R be a commutative ring and fix a in R. Show that I_a = {x in R | ax=0} is an ideal of R.
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  2. #2
    Senior Member
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    Hi
    Do you know the definition of an ideal? Which part can't you prove (additive subgroup, closed under multiplication) ?
    Don't forget R commutativity.
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