Wedderburn Polynomials over Division Rings
Tsit-Yuen Lam and André Leroy
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 $\,K[t,S,D]$.