关于具有泛分解的态射的广义逆

On Generalized Inverses of Morphisms with Universal-factorization

本文给出了预加范畴中具有泛分解的态射的（１，…，ｉ）－逆存在的条件及其表达式．特别地，得到了这类态射的Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ边和群逆存在的一些新的充要条件和新的表达式．

In this paper,we give existential conditions and expressions for the (1,…, i)inverses of morphisms with universal- factoriztion in a Preadditive category. Particu- larly,we obtain some new necessary and sufficient conditions for the existence and new expressions of Moore-Penrose inverses and group inverses of this ciass of morphisms.