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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 1, Pages 105–122 (Mi fpm1706)  
Monotone linear transformations on matrices over semirings

A. E. Gutermana, E. M. Kreinesa, Qing-Wen Wangb

a Lomonosov Moscow State University
b Shanghai University
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Abstract: We characterize linear transformations on matrices over commutative antinegative semirings that are monotone with respect to minus, star, and sharp partial orders.
Funding agency Grant number
National Natural Science Foundation of China 11571220
Russian Foundation for Basic Research 16-01-00113_а
15-31-20329_мол_а_вед
Russian Science Foundation 16-11-10075
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 233, Issue 5, Pages 675–686
DOI: https://doi.org/10.1007/s10958-018-3955-1
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: A. E. Guterman, E. M. Kreines, Qing-Wen Wang, “Monotone linear transformations on matrices over semirings”, Fundam. Prikl. Mat., 21:1 (2016), 105–122; J. Math. Sci., 233:5 (2018), 675–686
Citation in format AMSBIB
\Bibitem{GutKreWan16}
\by A.~E.~Guterman, E.~M.~Kreines, Qing-Wen~Wang
\paper Monotone linear transformations on matrices over semirings
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 1
\pages 105--122
\mathnet{http://mi.mathnet.ru/fpm1706}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 233
\issue 5
\pages 675--686
\crossref{https://doi.org/10.1007/s10958-018-3955-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050915984}
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    		Фундаментальная и прикладная математика
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