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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 82–94
DOI: https://doi.org/10.33048/smzh.2019.60.107 (Mi smj3060) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Separable enumerations of division rings and effective embeddability of rings therein

N. Kh. Kasymov, F. N. Ibragimov

Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (307 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2019.60.107
Abstract: We prove the negativity of separable enumerations of division rings and establish that the effective embeddability of a commutative integral domain in a separably enumerated field is equivalent to its negativity.
Keywords: enumerated algebras and morphisms, topological enumerated algebra, separable enumerations of division rings, locally positive and negatives groups, effective embeddability of rings into fields.
Funding agency
The authors were supported by the fund “Heritage of Academician T. N. Kary-Niyazov.”
Received: 24.02.2018
Revised: 22.03.2018
Accepted: 24.05.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 62–70
DOI: https://doi.org/10.1134/S0037446619010075
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 35R30
Language: Russian
Citation: N. Kh. Kasymov, F. N. Ibragimov, “Separable enumerations of division rings and effective embeddability of rings therein”, Sibirsk. Mat. Zh., 60:1 (2019), 82–94; Siberian Math. J., 60:1 (2019), 62–70
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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