Singular

5.1.65 janet

Syntax:

janet ( ideal_expression )
janet ( ideal_expression , int_expression )

Type:

ideal

Purpose:

computes the Janet basis of the given ideal, resp. the standard basis if 1 is given as the second argument.

Remark:

It works only with global orderings.

Example:

ring r=0,(x,y,z),dp; ideal i=x*y*z-1,x+y+z,x*y+x*z+y*z; // cyclic 3 janet(i); ==> Length of Janet basis: 4 ==> _[1]=x+y+z ==> _[2]=y2+yz+z2 ==> _[3]=z3-1 ==> _[4]=yz3-y