[GAP Forum] Strange GAP, I

[Asst. Prof. Dmitrii (Dima) Pasechnik]

Dear Forum,

This ring, Ring(Sqrt(2)), does not have a unity: this
explains why One(Ring(Sqrt(2))) does not terminate.
(it does not know how to "prove" that there is no unity, so
it continues to generate new and new elements in hope to find
one...)

Then, it appears that polynomial rings in GAP are only
implemented for rings with unity, and this explains
why Indeterminate(Ring(Sqrt(2))), as it tries to find the unity
first.

Best,
Dmirii

On 17 February 2010 20:50, Anvita <anvita21 at gmail.com> wrote:
> Dear Forum,
>
> This command hangs GAP:
>
> -----------------------------
> Indeterminate(Ring(Sqrt(2)));
> -----------------------------
>
> So does this one:
>
> -------------------
> One(Ring(Sqrt(2)));
> -------------------
>
> Could there be the same underlying reason / bug  ?
>
> This one, although being rather weird, works fine:
>
> -------------------------
> One(Zero(Ring(Sqrt(2))));
> -------------------------
>
> Anvita
>
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Dmitrii Pasechnik
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