A method for recognizing certain varieties of nonassociative algebras (Q1063099)
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scientific article; zbMATH DE number 3914517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method for recognizing certain varieties of nonassociative algebras |
scientific article; zbMATH DE number 3914517 |
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A method for recognizing certain varieties of nonassociative algebras (English)
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1985
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A nonassociative algebra R is a 3-algebra if \(I^ 3\) is an ideal for each ideal I of R. The author gives necessary and sufficient conditions, in terms of the compatibility of a system of linear equations, for an algebra over a field of characteristic not 2 or 3 to be a 3-algebra. The result is applied to the varieties of associative and Jordan algebras.
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three-algebra
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three-variety
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characteristic not two or three
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varieties of Jordan algebras
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varieties of associative algebras
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