论文标题
亲组和亲环的行动
Actions of pro-groups and pro-rings
论文作者
论文摘要
我们在$ \ mathrm {pro}中的组对象和环对象的动作方面，在$ \ mathrm {pro}（\ mathbf {set set}）$以及在某些相关类别中，在群体对象和戒指对象的动作方面对内部动作进行了明确描述。另外，我们表明Lie代数的类似结果失败。
We give an explicit description of internal actions in the semi-abelian categories of pro-groups and non-unital pro-rings in terms of actions of group objects and ring objects in $\mathrm{Pro}(\mathbf{Set})$, as well as in some related categories. Also, we show that a similar result fails for Lie algebras.
