在具有终对象的范畴内的正合列

Exact Sequences in Categories with Terminal Objects

英文关键词:image  pullback  exact sequence  equivalency.

中文摘要:

      本文对于具有终对象的范畴定义了四个一般正合列．在Ａｂｅｌ范畴同调代数里，对于具有零对象的任何范畴四个一般正合列与通常的正合列相同

英文摘要:

      In this paper, we define four generalized exact sequences for the categories with terminal objects. For any category with a null object, the above four exact sequences coincide with the ordinary exact sequences in HAA(homological algebra in abelian categories).