Are ideals conjugate invariant (as normal subgroups are)?
2026-05-06 05:06:23.1778043983
Are ideals conjugate invariant (as normal subgroups are)?
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If $I$ is a two side ideal, and a is invertible, it is easy to show that $$aIa^{-1}=I$$ So each two sided ideal is indeed conjugate invariant.
If $I$ is a one sided ideal, then it is not clear if $aIa^{-1}$ is an ideal in $R$.