$ E $ -Rings and Quotient Divisible Abelian Groups

Pub Date : 2023-11-24 DOI:10.1134/s003744662306006x
M. N. Zonov, E. A. Timoshenko
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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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$ E $ -环与商可除阿贝尔群
研究了\( E \) -环与商可除的阿贝尔群之间的关系。得到了\( E \) -环加性群商可除性的一个判据,并给出了\( E \) -环拟复合的Bowshell和Schultz问题的一个负解。
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