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Song, Seok-Zun; Kang, Kyung-Tae; Jun, Young-Bae

Invertible commutativity preservers of matrices over max algebra. (English) Zbl 1164.15303

Czech. Math. J. 56, No. 4, 1185-1192 (2006).
Summary: The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We characterize the invertible linear operators that preserve the set of commuting pairs of matrices over a subalgebra of max algebra.

MSC:

15A04 Linear transformations, semilinear transformations
15A03 Vector spaces, linear dependence, rank, lineability
15A27 Commutativity of matrices
15B33 Matrices over special rings (quaternions, finite fields, etc.)

Keywords:

max algebra; pair of commuting matrices; commutativity preserver
PDFBibTeX XMLCite
\textit{S.-Z. Song} et al., Czech. Math. J. 56, No. 4, 1185--1192 (2006; Zbl 1164.15303)
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References:

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