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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 6, Pages 1357–1368
DOI: https://doi.org/10.33048/smzh.2021.62.611 (Mi smj7633) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Kulakov algebraic systems on groups

M. V. Neshchadimab, A. A. Simonovb

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (338 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2021.62.611
Abstract: We define a Kulakov algebraic system as a three-sorted algebraic system satisfying the axioms of a physical structure. We prove a strong version of Ionin's Theorem on the equivalence of the rank $(2,2)$ physical structure to the structure of an abstract group. We consider nongroup Kulakov algebraic systems and characterize Kulakov algebraic systems over arbitrary groups.
Keywords: Kulakov algebraic system, physical structure, three-sorted algebra, group, semigroup, groupoid, loop.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0011
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0011).
Received: 11.03.2021
Revised: 22.06.2021
Accepted: 11.08.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 6, Pages 1100–1109
DOI: https://doi.org/10.1134/S0037446621060112
Bibliographic databases:
Document Type: Article
UDC: 512.74+512.643.8
MSC: 35R30
Language: Russian
Citation: M. V. Neshchadim, A. A. Simonov, “Kulakov algebraic systems on groups”, Sibirsk. Mat. Zh., 62:6 (2021), 1357–1368; Siberian Math. J., 62:6 (2021), 1100–1109
Citation in format AMSBIB
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\paper Kulakov algebraic systems on groups
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\vol 62
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\pages 1357--1368
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\crossref{https://doi.org/10.33048/smzh.2021.62.611}
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\transl
\jour Siberian Math. J.
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\pages 1100--1109
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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