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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 326–332
DOI: https://doi.org/10.33048/smzh.2021.62.206 (Mi smj7558) 		 
Closed elementary nets over a field of characteristic 0

V. A. Koibaevab

a Khetagurov North Ossetian State University, Vladikavkaz, Russia
b South Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.206
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.
Keywords: nets, carpets, elementary nets, closed elementary nets, admissible elementary nets, elementary net group, transvection.
Received: 23.11.2020
Revised: 06.12.2020
Accepted: 22.01.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 262–266
DOI: https://doi.org/10.1134/S0037446621020063
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 35R30
Language: Russian
Citation: V. A. Koibaev, “Closed elementary nets over a field of characteristic 0”, Sibirsk. Mat. Zh., 62:2 (2021), 326–332; Siberian Math. J., 62:2 (2021), 262–266
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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