Linear operators that preserve sets of primitive matrices (Q2877781)
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scientific article; zbMATH DE number 6334127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear operators that preserve sets of primitive matrices |
scientific article; zbMATH DE number 6334127 |
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25 August 2014
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linear operator
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preserver
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primitive matrix
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matrix exponent
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semiring
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0.93319976
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0.9320744
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0.9288878
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0.9255862
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0.9158889
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0.91013473
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Linear operators that preserve sets of primitive matrices (English)
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The paper classifies linear operators that preserve primitive matrices of exponents 1, 2, \(n^2 -2n +1\) and \( n^2-2n+2\) over antinegative semirings. Exponent preservers and strong exponent preservers on the set of all matrices over \(\{0,1\}\) are studied and some results on such preservers of primitive matrices over general commutative antinegative semirings without zero divisors are also included.NEWLINENEWLINEReviewer's remark: Reference [9] should read ``F. G. Frobenius, Über die Darstellung der endlichen Gruppen durch lineare Substitutionen'', location as cited.
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