The degree of a poynomial in a quotient ring
Hello,
I am defining a ring, R, two polynomials, p1 and p2, an ideal, I=<p1>, the quotient ring S=R/I, and then I compute p2 in the new ring:
sage: R.<x,y>=QQ[]
sage: p1=x-y
sage:p2=x^2+y^2
sage: I=ideal(p1)
sage: S=R.quotient_ring(I)
sage: q=p2.change_ring(S)
sage: q
2*ybar^2
When I compute the degree of q I get:
sage: d=q.degree()
sage: d
0
and I want to get d=2. Can anybody tell me how can I obtain d=2?