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Semigroup identities of supertropical matrices

Published 13 Nov 2019 in math.RA and math.CO | (1911.05654v1)

Abstract: We prove that, for any $n$, the monoid of all $n \times n$ supertropical matrices extending tropical matrices satisfies nontrivial semigroup identities. These identities are carried over to walks on labeled-weighted digraphs with double arcs.

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Authors (2)

  1. Z. Izhakian 
  2. G. Merlet 

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