Extended Jacobson density theorem for Lie ideals of rings with automorphisms (Q2754934)
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scientific article; zbMATH DE number 1668779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extended Jacobson density theorem for Lie ideals of rings with automorphisms |
scientific article; zbMATH DE number 1668779 |
Statements
5 November 2001
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primitive rings
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Lie ideals
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automorphisms
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Chevalley-Jacobson density theorem
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simple modules
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0.95633245
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0.9326087
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0.89344704
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0.88897455
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0.88368523
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0.88256323
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0.87905633
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0.8747117
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Extended Jacobson density theorem for Lie ideals of rings with automorphisms (English)
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There exist different extended versions of the Chevalley-Jacobson density theorem. The authors present a version of the density theorem for Lie ideals of rings with automorphisms. As an application they generalize a result of \textit{M. P. Drazin} [Proc. Am. Math. Soc. 8, 352-361 (1957; Zbl 0083.02903)] on primitive rings with pivotal monomial to primitive rings whose noncentral Lie ideal has a pivotal monomial with automorphisms.
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