2-products of idempotent by nilpotent matrices (Q6645194)
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scientific article; zbMATH DE number 7950909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 2-products of idempotent by nilpotent matrices |
scientific article; zbMATH DE number 7950909 |
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2-products of idempotent by nilpotent matrices (English)
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28 November 2024
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The authors describe idempotent by nilpotent \(2\)-products of \(2\times 2\) matrices over Prüfer domains. Nilpotents are always such products. They also provide a large class of rings in which every \(2\times 2\) idempotent matrix is such a product. Finally, for \(2\times 2\) matrices over greatest common divisors existing domains, idempotent-nilpotent products which are also nilpotent-idempotent products are characterized.
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Prüfer domain
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matrix
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Cramer's rule
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GCD domain
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idempotent-nilpotent product
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Kronecker Rouché-Capelli theorem
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