A Closed Formula for the Product in Simple Integral Extensions
Rings and Algebras
2010-08-13 v1
Abstract
Let be an algebraic number and let . An explicit formula for the coordinates of the product is given in terms of the coordinates of and and the companion matrix of the minimal polynomial of . The formula as well as its proof extend to fairly general simple integral extensions.
Cite
@article{arxiv.1008.2163,
title = {A Closed Formula for the Product in Simple Integral Extensions},
author = {Natalio H. Guersenzvaig and Fernando Szechtman},
journal= {arXiv preprint arXiv:1008.2163},
year = {2010}
}