Hostname: page-component-7dd5485656-zlgnt Total loading time: 0 Render date: 2025-10-30T21:10:17.198Z Has data issue: false hasContentIssue false
  • English
  • Français

Centralizing Automorphisms of Prime Rings

Published online by Cambridge University Press:  20 November 2018

Joseph H. Mayne
Joseph H. Mayne*
Affiliation:
Applied Mathematics Division, Argonne National Laboratory, Argonne, Illinois 60439, U.S.A. Department of Mathematics, Loyola University, Chicago, Illinois 60626, U.S.A.
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 a prime ring and T be a nontrivial automorphism of R. If xxT —xTx is in the center of the ring for every x in R, then R is a commutative integral domain.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 1 , 01 March 1976 , pp. 113 - 115
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Awtar, R., “On a Theorem of Posner,” Proc. Cambridge Philos. Soc. 73 (1973), 25–27.Google Scholar
2. Divinsky, N., “On commuting automorphisms of rings,” Trans. Roy. Soc. Canada, Sect. III, 49 (1955), 19–22.Google Scholar
3. Luh, J., “A note on commuting automorphisms of rings,” Amer. Math. Monthly 77 (1970), 61–62.Google Scholar
4. Posner, E., “Derivations in prime rings,” Proc. Amer. Math. Soc. 8 (1957), 1093–1100.Google Scholar