. The source of
should be a free module.
i1 : R = ZZ[x,y]
o1 = R
o1 : PolynomialRing
|
i2 : f = random(R^2,R^{2:-1})
o2 = | 6x+9y 9x+9y |
| 9x+y 4y |
2 2
o2 : Matrix R <--- R
|
i3 : g = vars R ++ vars R
o3 = | x y 0 0 |
| 0 0 x y |
2 4
o3 : Matrix R <--- R
|
i4 : quotient(f,g)
o4 = {1} | 6 9 |
{1} | 9 9 |
{1} | 9 0 |
{1} | 1 4 |
4 2
o4 : Matrix R <--- R
|
i5 : f = f + map(target f, source f, id_(R^2))
o5 = | 6x+9y+1 9x+9y |
| 9x+y 4y+1 |
2 2
o5 : Matrix R <--- R
|
i6 : quotient(f,g)
o6 = {1} | 6 9 |
{1} | 9 9 |
{1} | 9 0 |
{1} | 1 4 |
4 2
o6 : Matrix R <--- R
|