In this paper, we give some sufficient conditions and properties for Moore-Penrose inverses about product and sum of morphism in Abel category and additive category with an involution.

• 态射的Moore-Penrose逆是矩阵的Moore-Penrose逆在有对合*的范畴中的推广。 本文给出加法范畴及Abel范畴中态射的和与积的Moore-Penrose逆存在的充分条件和一些性质。