codim(QuotientRing) -- compute the codimension

• Function: codim

• Usage:

  codim R

• Inputs:
  • R, a quotient ring
• Optional inputs:
  • Generic => ..., default value false,
• Outputs:
  • an integer, the codimension of R

i1 : R = QQ[x,y]/(ideal(x,y) * ideal(x-1))

o1 = R

o1 : QuotientRing

i2 : codim R

o2 = 1

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