testing whether an ideal of QQ[x1,...,xn] is equal to its radical over CC

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Vincent Delecroix

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Mar 16, 2022, 2:07:48 PM3/16/22
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Dear all,

I am lost in my algebra. Given an ideal in QQ[x1,...,xn] how do I
test whether rad(I tensor CC) = I tensor CC ?

Best
Vincent

Dima Pasechnik

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Mar 16, 2022, 8:47:54 PM3/16/22
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On Wed, Mar 16, 2022 at 6:07 PM Vincent Delecroix <20100.d...@gmail.com> wrote:
>
> Dear all,
>
> I am lost in my algebra. Given an ideal in QQ[x1,...,xn] how do I
> test whether rad(I tensor CC) = I tensor CC ?

IIRC, radical will still be definable over QQ, thus just
https://www.singular.uni-kl.de/Manual/4-0-3/sing_1327.htm ?


>
> Best
> Vincent
>
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