-- -*- M2-comint -*- {* hash: 1928615406 *}

i1 : R = ZZ/101[a..c];

i2 : truncate(2,R^1)

o2 = image | a2 ab ac b2 bc c2 |

                             1
o2 : R-module, submodule of R

i3 : truncate(2, ideal(a,b,c^3)/ideal(a^2,b^2,c^4))

o3 = subquotient (| ab ac bc c3 |, | a2 b2 c4 |)

                               1
o3 : R-module, subquotient of R

i4 : truncate(2,ideal(a,b*c,c^7))

             2                  7
o4 = ideal (a , a*b, a*c, b*c, c )

o4 : Ideal of R

i5 : A = ZZ[x,y,z];

i6 : truncate(2,ideal(3*x,5*y,15))

              2                      2           2
o6 = ideal (3x , 3x*y, 3x*z, 5x*y, 5y , 5y*z, 15z )

o6 : Ideal of A

i7 : truncate(2,comodule ideal(3*x,5*y,15))

o7 = subquotient (| x2 xy xz y2 yz z2 |, | 3x 5y 15 |)

                               1
o7 : A-module, subquotient of A

i8 : L = ZZ/691[x,y,z];

i9 : B = L[s,t,Join=>false];

i10 : truncate(2,ideal(3*x*s,5*y*t^2,s*t))

                       2
o10 = ideal (3x*s, 5y*t , s*t)

o10 : Ideal of B

i11 : truncate(2,comodule ideal(3*x,5*y,15))

o11 = subquotient (0, | 3x 5y 15 |)

                                1
o11 : L-module, subquotient of L

i12 : S = ZZ/101[x,y,z,Degrees=>{{1,3},{1,4},{1,-1}}];

i13 : truncate({7,24}, S^1 ++ S^{{-8,-20}})

o13 = image {0, 0}  | x4y3 |
            {8, 20} | 0    |

                              2
o13 : S-module, submodule of S

i14 :