Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T21:36:34.397Z Has data issue: false hasContentIssue false

Isomorphisms between skew polynomial rings

Published online by Cambridge University Press:  09 April 2009

M. Rimmer
Affiliation:
Department of Mathematics, La Trobe University, Victoria 3083, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let R be any ring and α any automorphism of R. We determine here all the automorphisms of the skew polynomial ring R[x, α] which fix R elementwise. We then deal with isomorphisms between different skew polynomial rings whose underlying rings are isomorphic.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1978

References

Coleman, D. B. and Enochs, E. E. (1971), ‘Isomorphic polynomial rings’, Proc. Amer. Math. Soc. 27, 247252.CrossRefGoogle Scholar
Robert, W. Gilmer Jr (1968), ‘R-automorphisms of R[x]’, Proc. London Math. Soc. (3) 18, 328336.Google Scholar
Parmenter, M. (to appear), ‘Automorphisms of Twisted Polynomial Ring’.Google Scholar