Suppose I have

R.<x,y,z>=QQ[]
K.<u,v>=QQ[]
f=R.hom([u*v,u^2,v^2-u^2])

then for any even degree p in K one can compute
a preimage under f (e.g. u^4-u*v goes to y^2+x, etc)

Does Sage support this kind of maps? Yes, I can write the code that will for an
even degree monomial in K compute the corresponding polynomial in R,
and use it, but this is a bit ugly.

Dima

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