具有泛分解的态射的广义逆

江声远;刘晓冀

数学学报 ›› 1999, Vol. 42 ›› Issue (2)

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数学学报 ›› 1999, Vol. 42 ›› Issue (2) DOI: 10.12386/A1999sxxb0044
论文

具有泛分解的态射的广义逆

    江声远;刘晓冀
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Generalized Inverses of Morphisms with Universal-Factorzation

    Sheng Yuan JIANG(1),Xiao Ji LI
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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.

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.

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江声远;刘晓冀. 具有泛分解的态射的广义逆. 数学学报, 1999, 42(2) https://doi.org/10.12386/A1999sxxb0044
Sheng Yuan JIANG(1),Xiao Ji LI. Generalized Inverses of Morphisms with Universal-Factorzation. Acta Mathematica Sinica, Chinese Series, 1999, 42(2) https://doi.org/10.12386/A1999sxxb0044
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