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Rings with Automorphisms Leaving no Nontrivial Proper Ideals Invariant

Published online by Cambridge University Press:  20 November 2018

Ahmad Shamsuddin
Ahmad Shamsuddin*
Affiliation:
Mathematics Department American, University of Beirut, Beirut Lebanon
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Abstract

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If an automorphism a on a ring R (with 1) leaves no non-trivial proper ideals of R invariant then we say that R is σ-simple. We construct examples of σ-simple rings and prove that finitely generated σ-simple algebras over fields are regular. A geometric interpretation of these concepts is also discussed.

Keywords

13B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 4 , 01 December 1982 , pp. 478 - 486
Copyright
Copyright © Canadian Mathematical Society 1982

References

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