本文给出了预加范畴中态射的广义分解的概念，并研究了具有广义分解的态射的｛１，ｉ｝－逆，Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ逆存在的条件及其表达式，得到了态射的群逆及Ｄｒａｚｉｎ逆存在的充要条件，推广了具有泛分解的态射的广义逆的相应结果．

In this paper, we define generalized factorization of morphisms in the preaddi- tive category and give existential conditions and expressions for the {i}-inverses, {1, i}- inverses, Moore-Penrose inverses, Drazin inverses and group inverses of morphisms with generalized factorization. In the meantime, we generalize the corresponding results of morphisms with universal factorization.