Rank preservers of matrices over max algebra |
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| Authors: | RB Bapat Sukanta Pati Seok-Zun Song |
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| Institution: | 1. Indian Statistical Institute , New Delhi, 110016, India;2. Department of Mathematics , Cheju National University , Cheju, 690-756, South-Korea |
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| Abstract: | The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We consider the semimodules over max algebra and study the properties of the weak basis and weak dimension of the semi-modules. Moreover, we obtain the characterizations of those linear operators that preserve rank of matrices over max-algebra. |
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| Keywords: | Max algebra Linear operator Rank preserver |
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