# codim(QuotientRing) -- compute the codimension

## Description

Computes the codimension of the presentation ideal of R over its ambient polynomial ring.
 i1 : R = QQ[x,y]/(ideal(x,y) * ideal(x-1)) o1 = R o1 : QuotientRing i2 : codim R o2 = 1
However, the following may not be the expected result.
 i3 : R = QQ[x,y]/(ideal(x,y) * ideal(x-1)) o3 = R o3 : QuotientRing i4 : codim R o4 = 1 i5 : codim (R/x) o5 = 2