Singular Manual: kernel

  | ### 5.1.70 kernel `Syntax:` `kernel (` ring_name`,` map_name `)` `Type:` ideal `Purpose:` returns the kernel of a given map. The second argument has to be a map from the basering to the given ring (or an ideal defining such a map). `Example:`
        ring r1=32003,(x,y,z,w),lp;
        ring r=32003,(x,y,z),dp;
        ideal i=x,y,z;
        map f=r1,i;
        setring r1;
        // the kernel of f
        kernel(r,f);
      ==> _[1]=w
See alg_kernel; hom_kernel; ideal; map; modulo; preimage; ring.

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