A combinatorial property for semigroups of matrices |
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| Authors: | Flavio d’Alessandro Elton Pasku |
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| Affiliation: | 1. Dipartimento di Matematica “G. Castelnuovo”, Università degli Studi di Roma “La Sapienza”, Roma, Italy
2. Departamenti i Matematikes, Universiteti Politeknik i Tiranes, Tirane, Albania
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| Abstract: | In this paper we study the semigroups of matrices over a commutative semiring. We prove that a semigroup of matrices over a tropical semiring satisfies a combinatorial property called weak permutation property. We consider an application of this result to the Burnside problem for groups. |
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