On Fillmore's theorem over integrally closed domains

Alexander Stasinski

A well-known theorem of Fillmore says that if $A\in M_n(K)$ is a non-scalar matrix over a field $K$ and ${\hat{I}}_1^3,\dots ,{\hat{I}}_n^3\in K$ are such that $γ_{1}+\dots+γ_{n…