Chase’s lemma provides a powerful tool for translating properties of (co)products in abelian categories into chain conditions. This note discusses the context in which the lemma is used, making explicit what is often neglected in the literature because of its technical nature.

中文翻译：

---

Chase 引理及其上下文

Chase 引理提供了一个强大的工具，可以将阿贝尔范畴中的（共）乘积的性质转化为链条件。本注释讨论了使用引理的上下文，明确了文献中由于其技术性质而经常被忽视的内容。