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.

中文翻译：

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$ E $ -环和商可整除阿贝尔群

正在研究\(E\) -环和商可整除阿贝尔群之间的关系。我们得到了\(E\)环加性群的商整除性准则，并给出了\(E\)环准边组合的Bowshell和Schultz问题的负解。