On Dec 4, 5:14 pm, Santanu Sarkar <sarkar.santanu....@gmail.com>
wrote:
> Consider a collection of polynomials over three variables x, y, z.
> Suppose, we replace monomial xy by 2x+3y for each polynomial.
> And also each multiple of xy say xyz will be replaced by z(2x+3y).
Therefore (xy)*(xy) will be (2x+3y)*(2x+3y) which has 12xy:
does this get rewritten to 24x+36y?
Until you define this, I don't know what you mean.
> Is there any easier method to do this in Sage?
Groebner bases with elimination orderings tend to be easy-to-write
ways of doing this sort of thing.

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