具有泛分解态射的加权Moore-Penrose逆

The Weighted Moore-Penrose Inverses of Morphisms with Universal Factorization

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。

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.