Geodesic
Combinatorial properties of entire semigroups of nonnegative matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 13-31 
Yu. A. Al'pin; V. S. Al'pina. Combinatorial properties of entire semigroups of nonnegative matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 13-31. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a1/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Generalizations of the Protasov–Voynov theorem on the structure of irreducible semigroups of nonnegative matrices free of zero rows and columns are obtained. The theorem is extended to semigroups that are allowed to be reducible and to matrices that may have zero columns. The main results concern the semigroups called entire. In the definitions and proofs, only combinatorial properties of nonnegative matrices are exploited.

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