question archive Let R be a ring
Let R be a ring
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Let R be a ring. Let a ∈ R and define C(a) := {r ∈ R | ra = ar}. Determine if C(a) is an ideal of R.
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C(a) may not be an ideal of R.
We give a counter example. Just consider the M2(Z) .And use the definitionof ideal.
Please see the attached file for the complete solution
