Extended Centroids of Skew Polynomial Rings

Let R be a prime ring with σ ∊ Aut (R). We determine the extended centroid of the skew polynomial ring R[x, σ] when (i) 〈σ〉 is X-outer of finite order, (ii) 〈σ〉 is X-outer and infinite, (iii) σm is X-inner and no smaller power of σ fixes the extended centroid of R.

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Veröffentlicht in:	Canadian mathematical bulletin 1985-03, Vol.28 (1), p.67-76
Hauptverfasser:	Rosen, Jerry D., Rosen, Mary Peles
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Let R be a prime ring with σ ∊ Aut (R). We determine the extended centroid of the skew polynomial ring R[x, σ] when (i) 〈σ〉 is X-outer of finite order, (ii) 〈σ〉 is X-outer and infinite, (iii) σm is X-inner and no smaller power of σ fixes the extended centroid of R.
ISSN:	0008-4395 1496-4287
DOI:	10.4153/CMB-1985-006-1