i1 : R = QQ[a..d]; |
i2 : I = ideal(a^2,b^2,c*d) 2 2 o2 = ideal (a , b , c*d) o2 : Ideal of R |
i3 : f = basis(3,I) o3 = {2} | a b c d 0 0 0 0 0 0 0 0 | {2} | 0 0 0 0 a b c d 0 0 0 0 | {2} | 0 0 0 0 0 0 0 0 a b c d | o3 : Matrix |
i4 : source f 12 o4 = R o4 : R-module, free, degrees {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3} |
i5 : target f o5 = image | a2 b2 cd | 1 o5 : R-module, submodule of R |
i6 : matrix f o6 = {2} | a b c d 0 0 0 0 0 0 0 0 | {2} | 0 0 0 0 a b c d 0 0 0 0 | {2} | 0 0 0 0 0 0 0 0 a b c d | 3 12 o6 : Matrix R <--- R |
i7 : super f o7 = | a3 a2b a2c a2d ab2 b3 b2c b2d acd bcd c2d cd2 | 1 12 o7 : Matrix R <--- R |