//SINGULAR Example 2.8.5


ring R=0,(x,y),(c,dp);
module I1=[x,y],[y,1];
module I2=[0,y-1],[x,1],[y,x];

intersect(I1,I2);

vector c1=[1,0,1,0];
vector c2=[0,1,0,1];
vector c3=[x,y,0,0];
vector c4=[y,1,0,0];
vector c5=[0,0,0,y-1];
vector c6=[0,0,x,1];
vector c7=[0,0,y,x];
module M=c1,c2,c3,c4,c5,c6,c7;
syz(M);

vector r1=[y,-y2+x+1];
vector r2=[x,y];
vector r3=[y2-y,y-1];

r1+y*r2;