The normality of locally finite associative division algebras over classical fields (Q1110634)
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scientific article; zbMATH DE number 4073208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The normality of locally finite associative division algebras over classical fields |
scientific article; zbMATH DE number 4073208 |
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The normality of locally finite associative division algebras over classical fields (English)
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1988
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A central algebra R over a field K is called a normal locally finite (NLF-) algebra over K, if every finite set of R is contained in a central finite dimensional K-subalgebra of R. G. Koethe (1931) asked whether every central locally finite division K-algebra is an NLF-algebra. In the paper a positive answer to this problem is given, if K, for example, is a local or a global field.
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central algebras
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central locally finite division algebras
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NLF-algebras
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