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A generalisation of Amitsur's A-polynomials

Adam Owen; Susanne Pumplün — 2021

Communications in Mathematics

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

Sums of $d$ th powers in non-commutative rings.

Pumplün, Susanne — 2007

Beiträge zur Algebra und Geometrie

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A generalisation of Amitsur's A-polynomials

Sums of d th powers in non-commutative rings.

Sums of $d$ th powers in non-commutative rings.