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- W2952919114 abstract "The main result of the paper proves that the monoid of all 2 x 2 tropical matrices satisfies a non-trivial semigroup identity, unlike the case of matrices over infinite fields. We exploit a strong connection between the monoid of all 2 x 2 tropical matrices and the bicyclic monoid to show that a variant of Adian's identity for the bicyclic monoid holds in our case.We use generic matrices of tropical polynomials to prove our result." @default.
- W2952919114 created "2019-06-27" @default.
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- W2952919114 date "2009-02-08" @default.
- W2952919114 modified "2023-09-25" @default.
- W2952919114 title "Semigroup identities in the monoid of two-by-two tropical matrices" @default.
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