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The necessary and sufficient condition for the solvability of the Diophantine matrix equation \(A^{mx}+A^{my}+A^{mz}=A^{mw}\) - MaRDI portal

The necessary and sufficient condition for the solvability of the Diophantine matrix equation \(A^{mx}+A^{my}+A^{mz}=A^{mw}\) (Q536479)

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scientific article; zbMATH DE number 5896964
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English
The necessary and sufficient condition for the solvability of the Diophantine matrix equation \(A^{mx}+A^{my}+A^{mz}=A^{mw}\)
scientific article; zbMATH DE number 5896964

    Statements

    The necessary and sufficient condition for the solvability of the Diophantine matrix equation \(A^{mx}+A^{my}+A^{mz}=A^{mw}\) (English)
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    18 May 2011
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    determinant
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    trace
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    Diophantine matrix equation
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    matrix equations
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    Fermat's type equation on matrices
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    Schur's Lemma
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