Geodesic
A generalisation of Amitsur's A-polynomials
Communications in Mathematics, Tome 29 (2021) no. 2, pp. 281-289
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We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal {E}(f)$ is a central simple algebra over the field $F = C \cap \mathrm {Fix}(\sigma ) \cap \mathrm {Const}(\delta )$.
We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal {E}(f)$ is a central simple algebra over the field $F = C \cap \mathrm {Fix}(\sigma ) \cap \mathrm {Const}(\delta )$.
Classification : 16S36, 17A35, 17A36, 17A60
Keywords: Skew polynomial ring; reducible skew polynomials; eigenspace; nonassociative algebra; semisimple Artinian ring. 
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Owen, Adam; Pumplün, Susanne. A generalisation of Amitsur's A-polynomials. Communications in Mathematics, Tome 29 (2021) no. 2, pp. 281-289. http://geodesic.mathdoc.fr/item/COMIM_2021_29_2_a9/

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