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Closed Elementary Nets over a Field of Characteristic 0

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Abstract

Under study are the questions of closedness of an elementary net (carpet) over a field. Every complete net is closed (admissible). We construct an example of a closed elementary net over a field of characteristic 0 which cannot be supplemented to a complete net.

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Authors and Affiliations

  1. Khetagurov North Ossetian State University, Vladikavkaz, Russia

    V. A. Koibaev

  2. South Mathematical Institute of the Vladikavkaz Scientific Center, Vladikavkaz, Russia

    V. A. Koibaev

Authors
  1. V. A. Koibaev
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Correspondence to V. A. Koibaev.

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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 2, pp. 326–332. https://doi.org/10.33048/smzh.2021.62.206

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Koibaev, V.A. Closed Elementary Nets over a Field of Characteristic 0. Sib Math J 62, 262–266 (2021). https://doi.org/10.1134/S0037446621020063

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  • DOI: https://doi.org/10.1134/S0037446621020063

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