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Automorphisms and Derivations of Skew Polynomial Rings

Published online by Cambridge University Press:  20 November 2018

Mary P. Rosen  and
Jerry D. Rosen
Mary P. Rosen
Affiliation:
Department of Mathematics California State University, Northridge Northridge, California 91330 U.S.A.
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Abstract

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For a prime ring R and σ ∊ Aut(R), we determine the group of Rstabilizing automorphisms of the skew polynomial ring R[x; σ]. In the case where R is simple, we characterize the X-inner automorphisms of R[x; σ]. We also provide necessary and sufficient conditions for a σ -commuting derivation of a prime ring R to extend to a derivation of R[x; σ].

Keywords

16A05.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 126 - 132
Copyright
Copyright © Canadian Mathematical Society 1992

References

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