On the sum of locally solvable ideals of Lie algebras (Q1878561)
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scientific article; zbMATH DE number 2098959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sum of locally solvable ideals of Lie algebras |
scientific article; zbMATH DE number 2098959 |
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On the sum of locally solvable ideals of Lie algebras (English)
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7 September 2004
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The paper deals with the construction of an example of a Lie algebra over a field where the sum of two locally solvable ideals is not a locally solvable ideal. This gives a negative solution to a problem of \textit{R. Amayo} and \textit{I. Stewart} [Infinite-dimensional Lie algebras, Noordhoof, Leiden (1974; Zbl 0302.17006)].
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Amayo and Stewart problem
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negative solution
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