论文标题
在Stelzer的定理上，用于某些类混合组
On a theorem of Stelzer for some classes of mixed groups
论文作者
论文摘要
我们确定了混合组的一些类$ \ Mathcal {C} $，以便如果$ g \ in \ Mathcal {C} $具有取消属性，则$ G $的Walk-Endomormormorphism ring环具有单位提升属性。尤其是，如果$ g $是一组无扭转的自我小组，最多可与取消属性一起$ 4 $，那么它具有分解$ g = f \ oplus h $，因此$ f $是免费的，并且$ h $的Walk-endomormorphism ring Ring为$ H $，具有单位提升财产。
We identify some classes $\mathcal{C}$ of mixed groups such that if $G\in \mathcal{C}$ has the cancellation property then the Walk-endomorphism ring of $G$ has the unit lifting property. In particular, if $G$ is a self-small group of torsion-free rank at most $4$ with the cancellation property then it has a decomposition $G=F\oplus H$ such that $F$ is free and the Walk-endomorphism ring of $H$ has the unit lifting property.
