Algebraic Jordan algebras with the maximal condition for associative subalgebras (Q1058584)
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scientific article; zbMATH DE number 3900995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic Jordan algebras with the maximal condition for associative subalgebras |
scientific article; zbMATH DE number 3900995 |
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Algebraic Jordan algebras with the maximal condition for associative subalgebras (English)
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1984
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The following theorem is proved: An infinite dimensional algebraic Jordan algebra with the maximal condition for associative subalgebras is a finite direct sum of a finite dimensional algebra and infinite dimensional algebras of symmetric bilinear forms over a finite extension of the basic field. The existence of such an infinite dimensional algebra is discussed.
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infinite dimensional algebraic Jordan algebra
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infinite dimensional algebras of symmetric bilinear forms
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0.7911562919616699
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0.7844036817550659
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0.7750658392906189
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