On Kronecker's Solvability Theorem
Rings and Algebras
2025-04-14 v7
Abstract
Kronecker's 1856 paper contains a solvability theorem that is useful to construct unsolvable algebraic equations. We show how Kronecker's solvability theorem can be derived naturally via a polynomial complete decomposition method. This method is similar to D\"orrie, but we fill a gap that appears in his proof.
Cite
@article{arxiv.1912.07489,
title = {On Kronecker's Solvability Theorem},
author = {Yan Pan and Yuzhen Chen},
journal= {arXiv preprint arXiv:1912.07489},
year = {2025}
}
Comments
This is the version I sent to Prof. Jensen (cujensen[at]math.ku.dk) at 07:35:04 UTC on Nov 09, 2020