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Wedderburn Polynomials over Division Rings

Tsit-Yuen Lam·André Leroy
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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].

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Tsit-Yuen Lam, André Leroy. 2000-08-17. Wedderburn Polynomials over Division Rings. https://arxiv.org/abs/math/0008142

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