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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 2, Pages 195–204 (Mi fpm24)  
This article is cited in 1 scientific paper (total in 1 paper)

Representations of semimodules by sections of sheaves

V. V. Chermnykh

Vyatka State University of Humanities
Full-text PDF (136 kB) Citations (1) English version article
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Abstract: The aim of the paper is to study the conditions on the subsemimodule $A_S$ of the semimodule $\Gamma(P)$ of all global sections of a sheaf $P$ implying $A_S=\Gamma(P)$. Some applications of the developed construction are shown: namely, the Lambek representations for semimodules over strongly harmonic and reduced Rickart semirings as well as Pierce representations for semimodules over arbitrary semirings were proved to be isomorphic.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 2, Pages 256–262
DOI: https://doi.org/10.1007/s10958-008-9164-6
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: V. V. Chermnykh, “Representations of semimodules by sections of sheaves”, Fundam. Prikl. Mat., 13:2 (2007), 195–204; J. Math. Sci., 154:2 (2008), 256–262
Citation in format AMSBIB
\Bibitem{Che07}
\by V.~V.~Chermnykh
\paper Representations of semimodules by sections of sheaves
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 2
\pages 195--204
\mathnet{http://mi.mathnet.ru/fpm24}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2322979}
\zmath{https://zbmath.org/?q=an:1178.16042}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 2
\pages 256--262
\crossref{https://doi.org/10.1007/s10958-008-9164-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249084382}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:87
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