Dear John,
Wouldn’t be of some help to consider the kernel of  f-Id (with Id the
identity map)?
Best,
Pedro

El El jue, 25 ago 2022 a las 8:22, Dima Pasechnik <dimp...@gmail.com>
escribió:

>
>
> On Thu, 25 Aug 2022, 00:38 John H Palmieri, <jhpalmier...@gmail.com>
> wrote:
>
>> I have a polynomial ring R = k[x1, x2, ..., xn] and a ring homomorphism
>> f: R -> R. In case it matters, k=GF(2). I would like to find the subring of
>> elements x satisfying f(x) = x: that is, I want to find the equalizer of
>> the pair of maps (f, 1). Is there anything in Sage that will compute this?
>> The more polynomial generators this can handle, the better.
>>
>
> Is this subring finitely generated? Invariant theory in positive
> characteristic is full of surprises...
>
>
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>> John
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