A generalisation of Amitsur's A-polynomials

Adam Owen, Susanne Pumpluen

We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal{E}(f)$ is a central simple algebra over the field $F=C\cap \mathrm{Fix}(\sigma )\cap \mathrm{Const}(\delta )$.