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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 6, Pages 1172–1185
DOI: https://doi.org/10.33048/smzh.2023.64.606 (Mi smj7823) 		 
$E$-rings and quotient divisible abelian groups

M. N. Zonov, E. A. Timoshenko

Tomsk State University
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DOI: https://doi.org/10.33048/smzh.2023.64.606
Abstract: Under study are the relations between $E$-rings and quotient divisible abelian groups. We obtain a criterion for the quotient divisibility of the additive group of an $E$-ring and give a negative solution to the Bowshell and Schultz problem about the quasidecompositions of $E$-rings.
Keywords: $E$-ring, abelian group, quotient divisible group.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-943
The work was supported by the Ministry of Science and Higher Education of the Russian Federation (Grant no. 075–02–2023–943).
Received: 25.12.2022
Revised: 25.12.2022
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 6, Pages 1307–1318
DOI: https://doi.org/10.1134/S003744662306006X
Document Type: Article
UDC: 512.541+512.552
MSC: 35R30
Language: Russian
Citation: M. N. Zonov, E. A. Timoshenko, “$E$-rings and quotient divisible abelian groups”, Sibirsk. Mat. Zh., 64:6 (2023), 1172–1185; Siberian Math. J., 64:6 (2023), 1307–1318
Citation in format AMSBIB
\Bibitem{ZonTim23}
\by M.~N.~Zonov, E.~A.~Timoshenko
\paper $E$-rings and quotient divisible abelian groups
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 6
\pages 1172--1185
\mathnet{http://mi.mathnet.ru/smj7823}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 6
\pages 1307--1318
\crossref{https://doi.org/10.1134/S003744662306006X}
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