论文标题
$ s $ acts类别的连接对象
Connected objects in categories of $S$-acts
论文作者
论文摘要
在本文中，对象的紧凑性的分类属性，即。 e。以$ s $ acts的类别进行了对相应的$ \ hom $ fuctor的通勤，并显示了紧凑型$ s $ acts的相应结构属性。为了建立一般环境，并统一了两个最重要的$ s $ acts类别的方法，引入和研究了具有独特的对象分解的具体类别的概念。
In this paper, the categorial property of compactness of an object, i. e. commuting of the corresponding $\Hom$ functor with coproducts, is studied in categories of $S$-acts and the corresponding structural properties of compact $S$-acts are shown. In order to establish a general context and to unify the approach to both of the most important categories of $S$-acts, the notion of a concrete category with unique decomposition of objects is introduced and studied.
