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Keywords:
Skew polynomial ring; reducible skew polynomials; eigenspace; nonassociative algebra; semisimple Artinian ring.
Skew polynomial ring; reducible skew polynomials; eigenspace; nonassociative algebra; semisimple Artinian ring.
Summary:
We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal {E}(f)$ is a central simple algebra over the field $F = C \cap \mathrm {Fix}(\sigma ) \cap \mathrm {Const}(\delta )$.
References:
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