caa a22 4500 605522758 CHVBK 20210128100746.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2390-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2390-9 Combinatorial Properties of Entire Semigroups of Nonnegative Matrices [Elektronische Daten] [Yu. Al'pin, V. Al'pina] 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. Bibliography: 7 titles Springer Science+Business Media New York, 2015 Al'pin Yu Kazan' Federal University, Kazan', Russia aut Al'pina V. Kazan' National Research Technological University, Kazan', Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/5(2015-06-01), 674-685 1072-3374 207:5<674 2015 207 10958 https://doi.org/10.1007/s10958-015-2390-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2390-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Al'pin Yu Kazan' Federal University, Kazan', Russia aut NATIONALLICENCE 700 1- Al'pina V. Kazan' National Research Technological University, Kazan', Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/5(2015-06-01), 674-685 1072-3374 207:5<674 2015 207 10958