态射的加权Moore-Penrose逆

Weighted Moore-Penrose Lnverses of Morphisms

该文研究范畴中态射α关于对称态射β和γ的加权Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ逆α＋β，γ，分别给出了一般态射、有满单分解态射与有核（上核）态射的α＋β，γ存在的充要条件及其相应的表达式。

This paper researches the Moore-Penrose inverse aB of the morphism a weight-ed with respect to symmetric morphisms B and r in categories, and gives the necessary and sufficient conditions of the existence and expressions of aBR for general morphisms, mor-phisms with epic-monic factorizations and morphisms with kernels (cokernels) respective-ly.