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具有泛分解的态射的广义逆
引用本文:江声远,刘晓冀.具有泛分解的态射的广义逆[J].数学学报,1999,42(2):233-240.
作者姓名:江声远  刘晓冀
作者单位:江西师范大学数学系,南昌,330027
摘    要:本文研究范畴中态射乘积ggq的广义逆.假设有态射p'和q',使得p'pg=g=gqq'.分别用g~+和g~#给出了乘积Pgq的Moore-Penrose逆和Drazin逆存在的充要条件及其表达式.

关 键 词:范畴  态射  Moore-Penrose逆  Drazin逆
修稿时间::1997-08-2

Generalized Inverses of Morphisms with Universal-Factorzation
Jiang Shengyuan,Liu Xiaoji.Generalized Inverses of Morphisms with Universal-Factorzation[J].Acta Mathematica Sinica,1999,42(2):233-240.
Authors:Jiang Shengyuan  Liu Xiaoji
Affiliation:Jiang Shengyuan; Liu Xiaoji;(Department of Mathematics, Jiangxi Normal University, Nanchang 330027, P.R. China)
Abstract:In this paper we research generalized inverse of product f = pgq in categories.Suppose these exist morphism p' and q' such p'pg = g = gqq', we characterize theexistance of the Moors-Penrose inverse f and the Drazin inverse fD in terms of g and g# respactively, and establish the expression of f and fD.
Keywords:Category  Morphism  The Moors-Penrose inverse  The Drazin inverse
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