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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1271–1285
DOI: https://doi.org/10.33048/smzh.2019.60.607 (Mi smj3148) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Punctual copies of algebraic structures

M. V. Zubkova, I. Sh. Kalimullina, A. G. Mel'nikovb, A. N. Frolova

a Kazan (Volga Region) Federal University
b Massey University
Full-text PDF (495 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2019.60.607
Abstract: We estimate the complexity of constructing a punctual “online” copy of an algebraic structure. We establish a general upper bound as well as optimal bounds for classes of Boolean algebras, abelian p-groups, and linear orders. Moreover, the methods developed here are applied to solving MontalbГЎn’s open problem (2013) about copyable linear orders.
Funding agency Grant number
Russian Science Foundation 18-11-00028
Ministry of Education and Science of the Russian Federation 1.451.2016/1.4
МД-2721.2019.1
Marsden Fund — Royal Society of New Zealand
M. V. Zubkov was supported by the Russian Science Foundation (Grant 18—11—00028). I. Sh. Kalimullin was supported by the Ministry of Science and Education of the Russian Federation (Grant 1.451.2016/1.4). A. G. Melnikov was supported by the Marsden Fund of New Zealand. A. N. Frolov was supported by the President of the Russian Federation (Grant MD—2721.2019.1).
Received: 14.12.2018
Revised: 26.03.2019
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 993–1002
DOI: https://doi.org/10.1134/S0037446619060077
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: M. V. Zubkov, I. Sh. Kalimullin, A. G. Mel'nikov, A. N. Frolov, “Punctual copies of algebraic structures”, Sibirsk. Mat. Zh., 60:6 (2019), 1271–1285; Siberian Math. J., 60:6 (2019), 993–1002
Citation in format AMSBIB
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\paper Punctual copies of algebraic structures
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\pages 1271--1285
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    • This publication is cited in the following 4 articles:
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