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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 1, Pages 18–22 (Mi vmj446)  
This article is cited in 3 scientific papers (total in 4 papers)

Infinitesimals in ordered vector spaces

E. Yu. Emel'yanov

Middle East Technical University, Ankara, Turkey
Full-text PDF (136 kB) Citations (4)
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Abstract: An infinitesimal approach to ordered spaces is proposed. Archimedean property and Dedekind completeness in ordered spaces are discussed from a nonstandard point of view.
Key words: ordered vector space, nonstandard analysis.
Received: 29.10.2012
Document Type: Article
UDC: 517.98
MSC: 46A40, 46B40, 03H05
Language: English
Citation: E. Yu. Emel'yanov, “Infinitesimals in ordered vector spaces”, Vladikavkaz. Mat. Zh., 15:1 (2013), 18–22
Citation in format AMSBIB
\Bibitem{Eme13}
\by E.~Yu.~Emel'yanov
\paper Infinitesimals in ordered vector spaces
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 1
\pages 18--22
\mathnet{http://mi.mathnet.ru/vmj446}
Linking options:
  • https://www.mathnet.ru/eng/vmj446
  • https://www.mathnet.ru/eng/vmj/v15/i1/p18
    Erratum
    This publication is cited in the following 4 articles:
    1. A. Aydin, S. Gorokhova, H. Gul, “Nonstandard hulls of lattice-normed ordered vector spaces”, Turk. J. Math., 42:1 (2018), 155–163  crossref  mathscinet  zmath  isi  scopus
    2. E. Yu. Emelyanov, “Archimedean cones in vector spaces”, J. Convex Anal., 24:1 (2017), 169–183  mathscinet  zmath  isi
    3. E. Emelyanov, H. Gul, “Nonstandard hulls of ordered vector spaces”, Positivity, 20:2 (2016), 413–433  crossref  mathscinet  zmath  isi  scopus
    4. E. Yu. Emelyanov, “Erratum to: “Iinfinitesimals in ordered vector spaces””, Vladikavk. matem. zhurn., 15:2 (2013), 82–83  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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