leadTerm(ZZ,Ideal) -- get the ideal of lead polynomials

• Function: leadTerm

• Usage:

  leadTerm(n,I)

• Inputs:
  • n, an integer
  • I, an ideal
• Outputs:
  • a matrix, The ideal of all possible lead polynomials of I using the first n parts of the monomial order

i1 : R = QQ[a..d,MonomialOrder=>ProductOrder{1,3}];

i2 : I = ideal(a*b-c*d, a*c-b*d)

o2 = ideal (a*b - c*d, a*c - b*d)

o2 : Ideal of R

i3 : leadTerm(1,I)

             2     2
o3 = ideal (b d - c d, a*c, a*b)

o3 : Ideal of R