【摘要】 通过态射的分解讨论预加法范畴中态射的Moore-Penrose逆。给出了态射的Moore-Penrose逆存在的几个充要条件以及表达式。特别,得到了态射f有Moore-Penrose逆的充要条件是f有泛分解f=pgq使得g+存在并且(pg)*pg+i-g+g和gq(gq)*+i-gg+均可逆。更多还原

【Abstract】 By use of factorization of morphisms,the Moore-Penrose inverses of morphisms in the preadditive category are discussed.Some necessary and sufficient conditions for existence of the Moore-Penrose inverse of morphisms and some characterizations of the Moore-Penrose inverse are given.In particular,the Moore-Penrose inverse of a morphism f exists if and only if there exist morphisms p,g and q such that f=pgq,g+ exists,and(pg)*pg+i-g+g and gq(gq)*+i-gg+ are both invertible.更多还原