Wedderburn Polynomials over Division Rings
Rings and Algebras
2016-09-07 v1
Abstract
A Wedderburn polynomial over a division ring K is a minimal polynomial of an algebraic subset of K. Special cases of such polynomials include, for instance, the minimal polynomials (over the center F=Z(K)) of elements of K that are algebraic over F. In this note, we give a survey on some of our ongoing work on the structure theory of Wedderburn polynomials. Throughout the note, we work in the general setting of an Ore skew polynomial ring K[t,S,D].
Keywords
Cite
@article{arxiv.math/0008142,
title = {Wedderburn Polynomials over Division Rings},
author = {Tsit-Yuen Lam and André Leroy},
journal= {arXiv preprint arXiv:math/0008142},
year = {2016}
}