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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 2, Pages 205–215 (Mi fpm25)  
This article is cited in 4 scientific papers (total in 4 papers)

Reduced Rickart semirings and their functional representations

V. V. Chermnykh

Vyatka State University of Humanities
Full-text PDF (138 kB) Citations (4)
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Abstract: In this paper, we consider reduced semirings with supplementary conditions of annihilators, namely these are Rickart and weakly Rickart semirings. The main aim of the paper is to study functional representations of semirings. We build two sheaves of semirings and prove that a reduced Rickart semiring is presented by sections of these sheaves.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 2, Pages 263–269
DOI: https://doi.org/10.1007/s10958-008-9165-5
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: V. V. Chermnykh, “Reduced Rickart semirings and their functional representations”, Fundam. Prikl. Mat., 13:2 (2007), 205–215; J. Math. Sci., 154:2 (2008), 263–269
Citation in format AMSBIB
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\by V.~V.~Chermnykh
\paper Reduced Rickart semirings and their functional representations
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 2
\pages 205--215
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2322980}
\zmath{https://zbmath.org/?q=an:1178.16043}
\elib{https://elibrary.ru/item.asp?id=11162648}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 2
\pages 263--269
\crossref{https://doi.org/10.1007/s10958-008-9165-5}
\elib{https://elibrary.ru/item.asp?id=13591665}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249119869}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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