态射集中的加权星序和加权广义逆(英文)

WEIGHTED STAR ORDERINGS AND WEIGHTED GENERALIZED INVERSES IN MORPHISM SET

本文推广范畴上态射集中的星序理论.引进范畴上态射集中的加权星序.利用态射集的加权广义逆来刻划态射集中的加权星序.给出了态射集中的加权星序和态射的加权广义逆之间的一些关系.得到了态射集中的加权星序的一些刻划和性质.

The purpose of this paper is to spread the star ordering theory in morphism set over a category. The weighted star ordering in morphism set over a category is introduced. By use of the weighted generalized inverses of morphisms, the weighted star ordering of morphisms is characterized. Some relationships between the weighted star ordering and the weighted generalized inverses of morphisms are given. Also, some characterizations and properties of the weighted star ordering in morphism set are obtained.