Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-23T14:53:27.564Z Has data issue: false hasContentIssue false
  • English
  • Français

Generators of simple algebras

Published online by Cambridge University Press:  17 April 2009

David Choate
David Choate
Affiliation:
Department of Mathematics, University of Southwestern Louisiana, Lafeyette, Louisiana 70504, USA.
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.

It is shovn that simple algebras of characteristic not equal to 2, which contain non-trivial elements that satisfy xn = x for some fixed, minimal integer n > 1, are generated by these elements.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 3 , June 1982 , pp. 433 - 440
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Herstein, I.N., Topics in ring theory (University of Chicago Press, Chicago and London, 1965).Google Scholar