[GAP Forum] construct an ideal
Domenica Gusso
DGusso at gmx.de
Mon May 10 09:19:58 BST 2010
Hello,
I want to construct a maximal ideal I in the ring of integers from the
cyclotomic field with gap which contains the prime number p.
To construct Z[zeta] with zeta = nth-root of unity I use to command
>R:=Ring(1,E(n));
The ideal gens = <p, g-1 | g \in <zeta> >
Therefore I store the generators of I as list in gens.
Use the command :
>I:=TwoSidedIdeal(R,gens);
But when I want to create the ideal I in this way or want to check whether
R contains an element x with
>x in R;
gap doesn't terminate.
What's wrong here?
Grettings,
Domenica
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