A new proof of the Protasov-Voynov theorem on semigroups of nonnegative matrices. (English. Russian original) Zbl 1426.15013
Math. Notes 105, No. 6, 805-811 (2019); translation from Mat. Zametki 105, No. 6, 807-815 (2019).
Summary: 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.
MSC:
| 15A21 | Canonical forms, reductions, classification |
| 15B48 | Positive matrices and their generalizations; cones of matrices |
| 05A05 | Permutations, words, matrices |
| 20M05 | Free semigroups, generators and relations, word problems |
References:
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