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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2023 Volume 64, Number 6, Pages 1172–1185 (Mi smj7823)

$E$-rings and quotient divisible abelian groups

M. N. Zonov, E. A. Timoshenko

Tomsk State University

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.

UDC: 512.541+512.552

MSC: 35R30

Received: 25.12.2022
Revised: 25.12.2022
Accepted: 25.09.2023

DOI: 10.33048/smzh.2023.64.606


 English version:
Siberian Mathematical Journal, 2023, 64:6, 1307–1318


© Steklov Math. Inst. of RAS, 2026