References: Polynomial functions that preserve commuting pairs of matrices

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Marcus , M. Linear transformations on matrices . Journal of Research of the National Bureau of Standards-B. Mathematical Sciences, 75B , (July-Dec., 1971)
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van der Waerden , B. L. 1950 . Modern Algebra , Vol. II , 5 New York : Unger .
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Watkins , W. 1950 . Linear maps that preserve commuting pairs of matrices . Linear Algebra and Its Applications , II
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Polynomial functions that preserve commuting pairs of matrices

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