Given R and S Noetherian Integral Domains with , suppose are roots of the monic polynomial respectively. Using Grobner Basis Techniques, exhibit a monic polynomial that has a and b as a root. Do the same for ab.

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- Oct 22nd 2008, 10:45 PMterr13Grobner Basis and roots of polynomials
Given R and S Noetherian Integral Domains with , suppose are roots of the monic polynomial respectively. Using Grobner Basis Techniques, exhibit a monic polynomial that has a and b as a root. Do the same for ab.