The characterization of operators preserving primitivity for matrix \(k\)-tuples (Q1006027)
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scientific article; zbMATH DE number 5529484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The characterization of operators preserving primitivity for matrix \(k\)-tuples |
scientific article; zbMATH DE number 5529484 |
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The characterization of operators preserving primitivity for matrix \(k\)-tuples (English)
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17 March 2009
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The authors consider the Cartesian product of \(k\) matrix spaces over an antinegative semiring without zero divisors. They obtain a complete characterization of surjective additive operators acting on such a product space, which preserve primitive matrix \(k\)-tuples. Their technique is based on primitive assignments, cycle matrices, and edge-minimal \(k\)-tuples.
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primitive matrix tuples
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preservers
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semirings
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surjective additive operators
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cycle matrices
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edge-minimal \(k\)-tuples
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