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D.4.16.10 primTest

Procedure from library mprimdec.lib (see mprimdec_lib).

Usage:
primTest(i[, p]); a zero-dimensional ideal i, irreducible poly p in i

Return:
if i is neither prime nor homogeneous then ideal(0) is returned, otherwise radical(i)

Example:
 
LIB "mprimdec.lib";
ring r=0,(x,y,z),lp;
ideal i=x+1,y-1,z;
i=std(i);
ideal primId=primTest(i,z);
primId;
==> primId[1]=z
==> primId[2]=y-1
==> primId[3]=x+1
i=x,z2,yz,y2;
i=std(i);
primId=primTest(i);
primId;
==> primId[1]=x
==> primId[2]=y
==> primId[3]=z