Semigroup identities of supertropical matrices
نویسندگان
چکیده
We prove that, for any n, the monoid of all $$n \times n$$ supertropical matrices extending tropical satisfies nontrivial semigroup identities; in particular, such triangular admit exactly same identities satisfied by matrices. These are carried over to labeled-weighted digraphs with double arcs.
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2022
ISSN: ['0037-1912', '1432-2137']
DOI: https://doi.org/10.1007/s00233-022-10283-5