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Extended Centroids of Skew Polynomial Rings

Published online by Cambridge University Press:  20 November 2018

Jerry D. Rosen  and
Mary Peles Rosen
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Abstract

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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.

Keywords

16A12
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 1 , 01 March 1985 , pp. 67 - 76
Copyright
Copyright © Canadian Mathematical Society 1985

References

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