具有泛分解态射的加权Moore-Penrose逆  

The Weighted Moore-Penrose Inverses of Morphisms with Universal Factorization

作　　者：章劲鸥[1] 岑建苗[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2007年第4期476-480,共5页Journal of Ningbo University：Natural Science and Engineering Edition

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。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.

关 键 词：预加法范畴 泛分解 态射 加权MOORE-PENROSE逆 

分 类 号：O153.3[理学—数学]