Linear operators preserving idempotent matrices over division rings (Q687940)
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scientific article; zbMATH DE number 436782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear operators preserving idempotent matrices over division rings |
scientific article; zbMATH DE number 436782 |
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Linear operators preserving idempotent matrices over division rings (English)
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12 May 1994
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Let \(R\) and \(R_ 1\) be division rings with the same center \(F\). The author derives some necessary and sufficient conditions for an \(F\)-linear operator \(T:M_ n(R) \to M_ n (R_ 1)\) to preserve idempotence.
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idempotent matrix
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matrix over division ring
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