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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 13–31 (Mi znsl6049)  
This article is cited in 7 scientific papers (total in 7 papers)

Combinatorial properties of entire semigroups of nonnegative matrices

Yu. A. Al'pina, V. S. Al'pinab

a Kazan (Volga Region) Federal University, Kazan, Russia
b Kazan National Research Technological University, Kazan, Russia
Full-text PDF (223 kB) Citations (7)
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Abstract: 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.
Key words and phrases: Frobenius form, nonnegative matrix, semigroup.
Received: 06.10.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 674–685
DOI: https://doi.org/10.1007/s10958-015-2390-9
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, V. S. Al'pina, “Combinatorial properties of entire semigroups of nonnegative matrices”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 13–31; J. Math. Sci. (N. Y.), 207:5 (2015), 674–685
Citation in format AMSBIB
\Bibitem{AlpAlp14}
\by Yu.~A.~Al'pin, V.~S.~Al'pina
\paper Combinatorial properties of entire semigroups of nonnegative matrices
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 13--31
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6049}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 674--685
\crossref{https://doi.org/10.1007/s10958-015-2390-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949623643}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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