@article{641520376a9a4a5981e1b720ec7683ff,
title = "Semigroup identities of supertropical matrices",
abstract = "We prove that, for any n, the monoid of all n× n supertropical matrices extending tropical matrices satisfies nontrivial semigroup identities; in particular, such supertropical triangular matrices admit exactly the same identities satisfied by tropical triangular matrices. These semigroup identities are carried over to labeled-weighted digraphs with double arcs.",
keywords = "Idempotent semirings, Semigroup identities, Semigroup representations, Supertropical matrices, Tropical (max-plus) matrices, Weighted diagraphs",
author = "Zur Izhakian and Glenn Merlet",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2022",
month = oct,
doi = "10.1007/s00233-022-10283-5",
language = "אנגלית",
volume = "105",
pages = "466--477",
journal = "Semigroup Forum",
issn = "0037-1912",
publisher = "Springer New York",
number = "2",
}