The classification of two-dimensional nonassociative algebras (Q1977517)
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scientific article; zbMATH DE number 1448548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classification of two-dimensional nonassociative algebras |
scientific article; zbMATH DE number 1448548 |
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The classification of two-dimensional nonassociative algebras (English)
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18 March 2001
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In this important paper, the author provides a complete classification of two-dimensional nonassociative algebras over arbitrary base fields including those of characteristic two. The key to his classification is the notion of unital heart. This paper completes the two-dimensional part of the classification project begun in the seminal paper of \textit{Benjamin Peirce} [Linear associative algebras, Am. J. Math. 4, 99-215 (1881), addenda: 215-229 (pp. 225-229 by Charles S. Pierce)].
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unital heart
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étale algebra
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two-dimensional nonassociative algebras
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