【摘要】 讨论了预加法范畴C中具有泛分解态射的加权Moore-Penrose逆,并给出了具有泛分解态射的加权Moore-Penrose逆存在的几个充要条件,以及具有泛分解态射的加权Moore-Penrose逆的表达式,推广了关于具有泛分解态射的广义Moore-Penrose逆的相应结果。更多还原

【Abstract】 In this paper,discussions are made on the weighted Moore-Penrose inverses of the morphisms with universal factorization in the preadditive category.Some necessary and sufficient conditions are introduced for the existence of the weighted Moore-Penrose inverse of the morphisms with universal factorization,and also given are some pertinent formulae.The analytical results are extended of the generalized Moore-Penrose inverse of the morphisms with universal factorization.更多还原