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Macaulay2Doc :: ambient(Ring)

ambient(Ring) -- ambient polynomial ring

Synopsis

Description

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
If R is not a quotient of a polynomial ring, an error is given.

Caveat

If the ring is a GaloisField, then the meaning is different. See ambient(GaloisField).