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.
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Funding
The work was supported by the Ministry of Science and Higher Education of the Russian Federation (Grant no. 075–02–2023–943).
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Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 6, pp. 1172–1185. https://doi.org/10.33048/smzh.2023.64.606
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Zonov, M.N., Timoshenko, E.A. \( E \)-Rings and Quotient Divisible Abelian Groups. Sib Math J 64, 1307–1318 (2023). https://doi.org/10.1134/S003744662306006X
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DOI: https://doi.org/10.1134/S003744662306006X