dimension, codimension, and degree

dimension, codimension, and degree

Use dim, codim, and degree to compute the dimension, codimension and degree, respectively, of an ideal. The functions dim and degree compute the dimension and degree of the ring R/I.

i1 : R = ZZ/101[x,y,z];

i2 : I = ideal(x^3-y*z^2,x*y-z^2,x*z);



o2 : Ideal of R

i3 : dim I



o3 = 1

i4 : codim I



o4 = 2

i5 : degree I



o5 = 2