Ein Satz von I. Schur über vertauschbare Matrizen (Q1065897)
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scientific article; zbMATH DE number 3922877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ein Satz von I. Schur über vertauschbare Matrizen |
scientific article; zbMATH DE number 3922877 |
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Ein Satz von I. Schur über vertauschbare Matrizen (English)
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1985
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In 1905 \textit{I. Schur} [J. Reine Angew. Math. 130, 66--76 (1905; JFM 36.0140.01)] proved a theorem describing all commutative subalgebras of maximal dimension of the matrix ring \((K)_n\). His proof made use of the algebraic closure of the field \(K\). In this paper the authors give a proof of the above theorem which does not require the algebraic closure of \(K\).
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commutative subalgebras of maximal dimension
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matrix ring
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