A closed formula for the product in simple integral extensions
- Guersenzvaig, Natalio H.
- Szechtman, Fernando
Publication date
April 2009
DOI Publisher
Elsevier Inc. ISSN
0024-3795 Citation count (estimate)
4Abstract
AbstractLet ξ be an algebraic number and let α,β∈Q[ξ]. A closed formula for the coordinates of the product αβ is given in terms of the coordinates of α and β and the companion matrix of the minimal polynomial of ξ. The formula as well as its proof extend to fairly general simple integral extensions
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