English

Semigroup identities of supertropical matrices

Rings and Algebras 2019-11-14 v1 Combinatorics

Abstract

We prove that, for any nn, the monoid of all n×nn \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.

Keywords

Cite

@article{arxiv.1911.05654,
  title  = {Semigroup identities of supertropical matrices},
  author = {Z. Izhakian and G. Merlet},
  journal= {arXiv preprint arXiv:1911.05654},
  year   = {2019}
}

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6 pages