有满单分解态射的加权Moore-Penrose逆  

Weighted Moore-Penrose Inverse of Morphism with Epic-Monic Factorization

作　　者：张荣娥[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3期346-349,共4页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：浙江省自然科学基金(Y605389);宁波市自然科学基金(2006A610094)

摘　　要：研究了范畴C中有满单分解态射φ关于态射h,k的加权Moore-Penrose逆φ_(hk)^+的存在性问题,给出了φ_(hk)^+存在的几个充分必要条件,推广了态射的Moore-Penrose逆的相应结果.其次,讨论了态射乘积的加权Moore-Penrose逆,得到了乘积公式成立的一个充要条件.The research work involves the existence of weighted Moore-Penrose inverse of Morphism with epic-monic Factorization, as well as several necessary and sufficient conditions concerned. The corresponding results are generalized and some extensive discussions are made on the weighted Moore-Penrose inverse of Morphism. In addition, one necessary and sufficient condition for the inverse product formula is proved.

关 键 词：范畴 态射 满单分解 加权MOORE-PENROSE逆 

分 类 号：O153.3[理学—数学]