ambient(Ring) -- ambient polynomial ring

• Function: ambient

• Usage:

  ambient R

• Inputs:
  • R, a ring, a polynomial ring or a quotient of a polynomial ring
• Outputs:
  • a ring, the polynomial ring of which this ring is a quotient

i1 : A = ZZ[a..d];

i2 : B = A/(3*a^2-1);

i3 : C = B/(a*b-3);

i4 : describe C

        B
o4 = -------
     a*b - 3

i5 : ambient C

o5 = B

o5 : QuotientRing