A New Proof of the Protasov-Voynov Theorem on Semigroups of Nonnegative Matrices


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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.

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Yu. Al’pin

Kazan (Volga Region) Federal University

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Email: yurialpin016@gmail.com
俄罗斯联邦, Kazan, 420008

V. Al’pina

Kazan National Research Technological University

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Email: alpina.valentina@yandex.ru
俄罗斯联邦, Kazan, 420015

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