A New Proof of the Protasov-Voynov Theorem on Semigroups of Nonnegative Matrices |
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Authors: | Al’pin Yu A Al’pina V S |
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Institution: | 1.Kazan (Volga Region) Federal University, Kazan, 420008, Russia ;2.Kazan National Research Technological University, Kazan, 420015, Russia ; |
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Abstract: | 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. |
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