关于─同构及─正合的若干注记

A NOTE ON THE -ISOMORPHISMS AND─EXACTNESSES

本文讨论了Ｓｅｒｒｅ类中纯代数性－同内在有限生成的交换群范畴内的一个充要条件以及－正合性的几个性质，－正合下的五引理，最后还讨论了－同构与张量积、同态群的联系．

In this note , we discuss some algebraic properties of-isomorphisms in some Serre class. weobtain a necessary and sufficient condition of-isomorphisnis in the category of finitely gener-ated Abelian groups. Some properties of-isomorphisms and the -Five Lemma are dis-cussed. Finally studies are the connections of-isomorphisms with tensor products and withgrotips of homorphisms.