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D.4.32.2 normalI
Procedure from library reesclos.lib (see reesclos_lib).
- Usage:
- normalI (I [,p [,r [,l]]]); I an ideal, p, r, and l optional integers
- Return:
- the integral closure of I, ..., I^p, where I is an ideal in the
polynomial ring R=k[x(1),...x(n)]. If p is not given, or p==0,
compute the closure of all powers up to the maximum degree in t
occurring in the closure of R[It] (so this is the last power whose
closure is not just the sum/product of the smaller). If r
is given and r==1, normalI starts with a check whether I is already a
radical ideal.
If l==1 then locNormal instead of normal is used to compute normalization.
The result is a list containing the closure of the desired powers of
I as ideals of the basering.
- Display:
- The procedure displays more comments for higher printlevel.
Example:
| | LIB "reesclos.lib";
ring R=0,(x,y),dp;
ideal I = x2,xy4,y5;
list J = normalI(I);
I;
==> I[1]=x2
==> I[2]=xy4
==> I[3]=y5
J; // J[1] is the integral closure of I
==> [1]:
==> _[1]=x2
==> _[2]=xy4
==> _[3]=y5
==> _[4]=xy3
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