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    Proving I1*I2 is an Ideal in Commutative Ring R

    Hi, I saw many people have given a wrong definition for the product of ideals. The following is the correct definition as appeared in mathematical text: I*J = {i[1]*j[1]+i[2]*j[2]+...+i[n]*j[n]:i[n] in I and j[n] in J where n is finite}
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