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Rings with Automorphisms Leaving no Nontrivial Proper Ideals Invariant
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1982
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