论文标题
部分分解部分分组
Primary decomposition over partially ordered groups
论文作者
论文摘要
在任何部分有序的阿贝利亚群体上，其正面锥体以适当的意义关闭并且有限的面孔有限，这些模块满足弱有限条件的模块可以容纳有限的主要分解。这个结论取决于在相关的一般性中引入基本概念，例如部分有序的阿贝尔群体，面部及其合作模块的封闭性，以及有限条件，以及在部分有序组上的本地和全球支持函数。
Over any partially ordered abelian group whose positive cone is closed in an appropriate sense and has finitely many faces, modules that satisfy a weak finiteness condition admit finite primary decompositions. This conclusion rests on the introduction of basic notions in the relevant generality, such as closedness of partially ordered abelian groups, faces and their coprimary modules, and finiteness conditions as well local and global support functors for modules over partially ordered groups.
