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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Linear transformations preserving potent matrices


Authors: Matej Brešar and Peter Šemrl
Journal: Proc. Amer. Math. Soc. 119 (1993), 81-86
MSC: Primary 15A04
MathSciNet review: 1154242
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Abstract: Linear transformations of $ {M_n}$, the algebra of $ n \times n$ matrices over $ \mathbb{C}$, which preserve the set of all potent matrices, are characterized.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1154242-7
PII: S 0002-9939(1993)1154242-7
Keywords: Linear transformation, potent matrix
Article copyright: © Copyright 1993 American Mathematical Society