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On a family of ideally finite Lie algebras - MaRDI portal

On a family of ideally finite Lie algebras (Q677860)

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scientific article; zbMATH DE number 1000019
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English
On a family of ideally finite Lie algebras
scientific article; zbMATH DE number 1000019

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    On a family of ideally finite Lie algebras (English)
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    10 August 1997
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    Ideally finite Lie algebras are those generated by finite-dimensional ideals. The author considers the case when these ideals are complete and perfect. This condition is shown to be equivalent to the algebra being the direct sum of finite-dimensional, complete, perfect and irreducible ideals. A radical related to this concept is introduced and developed for ideally finite Lie algebras.
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    ideally finite Lie algebras
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    ideals
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    radical
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