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Expression of 1 in terms of generators of an ideal [closed]

asked 2023-03-02 21:19:10 +0100

Let's say I have an ideal $I$ generated by some polynomials $f_i$ in a polynomial algebra $R$ over $\mathbb{Q}$ for which I have succesfully computed a Groebner basis and found out that $I=(1)$. Is there a way to extract an explicit expression of $1$ as a linear combination of the generators $f_i$ over $R$?

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Closed for the following reason duplicate question by Max Alekseyev
close date 2023-03-04 18:22:35.767701

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answered 2023-03-04 18:22:23 +0100

Max Alekseyev gravatar image

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Asked: 2023-03-02 21:19:10 +0100

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Last updated: Mar 02 '23