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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

1. Goodearl, K. R. and Warfield, R. B., Jr., An Introduction to NoncommutativeNoetherian Rings, LMS Student Texts 16, Cambridge University Press, Cambridge, 1989.Google Scholar
2. Matczuk, J., Extended centroids of skew polynomials rings, Math. J. Okayama Univ. 30(1988),13–20.Google Scholar
3. McConnell, J. C. and Robson, J. C., Noncommutative Noetherian Rings, Wiley Series in Pure and Applied Mathematics, Wiley, Chichester, 1987.Google Scholar
4. Passman, D. S., Infinite Crossed Products, Pure and Applied Mathematics, 135, Academic Press, Inc., San Diego, 1989.Google Scholar
5. Rowen, L., Ring Theory, Volume I, Pure and Applied Mathematics, 127, Academic Press, Inc., San Diego, 1988.Google Scholar