saturate(TriaSystem) -- saturated ideal of a triangular system

• Function: saturate (missing documentation)

• Usage:

  saturate T

• Inputs:
  • T, an instance of the type TriaSystem,
• Optional inputs:
  • BasisElementLimit (missing documentation) => ..., default value infinity,
  • DegreeLimit (missing documentation) => ..., default value {},
  • MinimalGenerators (missing documentation) => ..., default value true,
  • PairLimit (missing documentation) => ..., default value infinity,
  • Strategy (missing documentation) => ..., default value null,
• Outputs:
  • an ideal, the saturated ideal of T

i1 : R = QQ[a,b,c,d,e,f,g,h, MonomialOrder=>Lex];

i2 : F = {a*d - b*c, c*f - d*e, e*h - f*g};

i3 : H = {d, f, h};

i4 : T = triaSystem(R,F,H)

o4 = {a*d - b*c, c*f - d*e, e*h - f*g} / {d, f, h}

o4 : TriaSystem

i5 : saturate T

o5 = ideal (e*h - f*g, c*h - d*g, c*f - d*e, a*h - b*g, a*f - b*e, a*d - b*c)

o5 : Ideal of R