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.
A Combinatorial Property for Semigroups of Matrices / D'Alessandro, Flavio; Elton, Pasku. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - STAMPA. - 67:1(2003), pp. 22-30. [10.1007/s00233-001-0002-0]
A Combinatorial Property for Semigroups of Matrices
D'ALESSANDRO, Flavio;
2003
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.File allegati a questo prodotto
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