摘要
利用态射的加权广义逆,引进并讨论态射集中的加权减序和加权星序.给出了态射集中的加权减序的一些刻画和性质以及加权减序和加权星序之间的关系.加权减序和加权星序都是态射集中的新的偏序.所得结果均可应用于矩阵理论中.
By using the weighted generalized inverses of morphisms, the weighted minus ordering and the weighted star ordering of morphism set in a category are introduced and discussed. Some characterizations and properties of the weighted minus ordering in morphism set are given. The relations between the weighted minus ordering and the weighted star ordering are discussed. The weighted minus ordering and the weighted star ordering are both new partial ordering in morphism set. The obtained results can be all applied to the matrix theory.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2005年第6期601-604,610,共5页
Journal of Zhejiang University（Science Edition）
关键词
态射
加权广义逆
加权减序
加权星序
morphism
weighted generalized inverse
weighted minus ordering
weighted star ordering
