Nilpotent elements and nil-radicals of alternative algebras (Q1082426)
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scientific article; zbMATH DE number 3973115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotent elements and nil-radicals of alternative algebras |
scientific article; zbMATH DE number 3973115 |
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Nilpotent elements and nil-radicals of alternative algebras (English)
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1985
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The author proves that in a relatively free alternative algebra, over a field of characteristic zero, the nil-radical is equal to the sum of the nilpotent ideals. He also shows that exceptional prime alternative algebras do exist, and from this deduces that there are elements of finite order in a free alternative ring.
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finite basis rank
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nilpotent nil-algebras
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varieties of alternative algebras
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free alternative algebra
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characteristic zero
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nil-radical
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exceptional prime alternative algebras
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elements of finite order
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