Email this article A New Proof of the Protasov-Voynov Theorem on Semigroups of Nonnegative Matrices
- Authors: Al’pin Y.A.1, Al’pina V.S.2
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Affiliations:
- Kazan (Volga Region) Federal University
- Kazan National Research Technological University
- Issue: Vol 105, No 5-6 (2019)
- Pages: 805-811
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151765
- DOI: https://doi.org/10.1134/S0001434619050183
- ID: 151765
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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.
About the authors
Yu. A. Al’pin
Kazan (Volga Region) Federal University
Author for correspondence.
Email: yurialpin016@gmail.com
Russian Federation, Kazan, 420008
V. S. Al’pina
Kazan National Research Technological University
Author for correspondence.
Email: alpina.valentina@yandex.ru
Russian Federation, Kazan, 420015
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