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Fundam. Prikl. Mat., 2012, Volume 17, Issue 3, Pages 111–227 (Mi fpm1417)  

This article is cited in 7 scientific papers (total in 7 papers)

Functional representations of semirings

V. V. Chermnykh

Vyatka State University of Humanities

Abstract: The theory of sheaf representations of semirings is developed in this paper.

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English version:
Journal of Mathematical Sciences (New York), 2012, 187:2, 187–267

UDC: 512.55

Citation: V. V. Chermnykh, “Functional representations of semirings”, Fundam. Prikl. Mat., 17:3 (2012), 111–227; J. Math. Sci., 187:2 (2012), 187–267

Citation in format AMSBIB
\Bibitem{Che12}
\by V.~V.~Chermnykh
\paper Functional representations of semirings
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 3
\pages 111--227
\mathnet{http://mi.mathnet.ru/fpm1417}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 187
\issue 2
\pages 187--267
\crossref{https://doi.org/10.1007/s10958-012-1062-2}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867554622}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. M. Vechtomov, A. A. Petrov, “Multiplicatively idempotent semirings”, J. Math. Sci., 206:6 (2015), 634–653  mathnet  crossref  mathscinet
    2. R. V. Markov, “Pierce sheaf for semirings with involution”, Russian Math. (Iz. VUZ), 58:4 (2014), 14–19  mathnet  crossref
    3. R. V. Markov, V. V. Chermnykh, “On Pierce stalks of semirings”, J. Math. Sci., 213:2 (2016), 243–253  mathnet  crossref  mathscinet
    4. R. V. Markov, V. V. Chermnykh, “Polukoltsa, blizkie k regulyarnym, i ikh pirsovskie sloi”, Tr. IMM UrO RAN, 21, no. 3, 2015, 213–221  mathnet  mathscinet  elib
    5. E. M. Vechtomov, A. V. Mikhalev, V. V. Sidorov, “Polukoltsa nepreryvnykh funktsii”, Fundament. i prikl. matem., 21:2 (2016), 53–131  mathnet
    6. Chermnykh V.V., Chermnykh O.V., “Functional Representations of Lattice-Ordered Semirings”, Sib. Electron. Math. Rep., 14 (2017), 946–971  mathnet  crossref  mathscinet  zmath  isi
    7. Chermnykh V O., “Functional Representations of Lattice-Ordered Semirings. II”, Sib. Electron. Math. Rep., 15 (2018), 677–684  mathnet  crossref  mathscinet  isi
  • Фундаментальная и прикладная математика
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