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.
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.