//SINGULAR Example 2.1.24


ring A = 0,(x,y,z),dp;
module N = [xy,0,yz],[0,xz,z2]; //submodule of A^3, 
N;                              //2 generators

LIB "inout.lib";           //library for formatting output
show(N);                   //shows the generators as vectors

print(N);                  //the corresponding matrix

show(N+x*N);

module M = [xy,yz],[xz,z2]; //submodule of A^2
matrix MM = M;              //automatic typ conversion
MM;                         //same as matrix MM = matrix(M);

module K=syz(M);            //computes the kernel of M
show(K);