Integral Jordan decomposition of matrices (Q1855379)
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scientific article; zbMATH DE number 1864744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral Jordan decomposition of matrices |
scientific article; zbMATH DE number 1864744 |
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Integral Jordan decomposition of matrices (English)
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5 February 2003
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The Jordan decomposition with respect to \(R\) (\(R\) is an integrally closed Noetherian integral domain with perfect field of quotients \(K)\) is studied. The existence of a Jorden decomposition for orders to Hochschild cohomology is discussed. Local global principles for Jordan cohomology are derived. Cases of orders contained in Mat\((2,K)\) and of orders generated by a single element are compared. A procedure is developed to compute the semisimple part of a matrix in Mat\((n,K)\). An example of Hochschild cohomology is discussed.
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Jordan decomposition
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Hochschild cohomology
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separable orders
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semisimple elements
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local global principles
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Noetherian integral domain
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0.9036871
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0.89546067
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0.87802094
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0.8740953
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