Classifying indecomposable R.A. loops (Q1902142)
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scientific article; zbMATH DE number 815926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classifying indecomposable R.A. loops |
scientific article; zbMATH DE number 815926 |
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Classifying indecomposable R.A. loops (English)
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7 January 1996
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E. D. Goodaire (1983) defined R.A. loops (right alternative loops) as loops whose loop algebra over any ring with no 2-torsion is alternative. The authors in this paper describe all finite indecomposable R.A. loops, up to isomorphism and show how to construct all indecomposable R.A. loops. As an application, they list all such loops of order up to 64.
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right alternative loops
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loop algebras
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finite indecomposable R.A. loops
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