A note on duplication of algebras (Q1106310)
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scientific article; zbMATH DE number 4061463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on duplication of algebras |
scientific article; zbMATH DE number 4061463 |
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A note on duplication of algebras (English)
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1988
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The author shows that if a nonassociative algebra A satisfies A \(2=A\) and has an idempotent, then A and its duplicate have isomorphic automorphism groups and isomorphic derivation algebras. An example shows that the condition A \(2=A\) is necessary. Finally there is an application of this result to multiple allelic polyploidy algebras.
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gametic algebra
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zygotic populations
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idempotent
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duplicate
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automorphism groups
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derivation algebras
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multiple allelic polyploidy algebras
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