Geodesic
A New Proof of the Protasov--Voynov Theorem on Semigroups of Nonnegative Matrices
Matematičeskie zametki, Tome 105 (2019) no. 6, pp. 807-815

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A new combinatorial proof of the Protasov–Voynov theorem on the structure of irreducible semigroups of nonnegative matrices is proposed. The original proof was obtained by geometric methods.
Keywords: irreducible nonnegative matrix, semigroup of nonnegative matrices.
Mots-clés : Frobenius form 
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     author = {Yu. A. Alpin and V. S. Al'pina},
     title = {A {New} {Proof} of the {Protasov--Voynov} {Theorem} on {Semigroups} of {Nonnegative} {Matrices}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_6_a0/}
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Yu. A. Alpin; V. S. Al'pina. A New Proof of the Protasov--Voynov Theorem on Semigroups of Nonnegative Matrices. Matematičeskie zametki, Tome 105 (2019) no. 6, pp. 807-815. http://geodesic.mathdoc.fr/item/MZM_2019_105_6_a0/