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Math Help - Grobner Basis and roots of polynomials

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    Grobner Basis and roots of polynomials

    Given R and S Noetherian Integral Domains with R \subset S, suppose a,b \in S are roots of the monic polynomial  x^2 + c_1x + c_0, x^2 +d_1x +d_0 \in R[x] respectively. Using Grobner Basis Techniques, exhibit a monic polynomial that has a and b as a root. Do the same for ab.
    Last edited by terr13; October 23rd 2008 at 12:48 AM.
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