范畴中态射集左(右)加权星型序的刻画

Characterizations of the Left(Right) Weighted Star Partial Orderings of Morphism Set in Category

利用态射的加权广义逆定义态射集的左(右)加权星型序,给出它的等价刻画,以及特殊范畴中进一步的等价刻画,当加权态射分别为单位态射时,得到文献[1～3]的相应结论.

Some characterizations of the left （right） weighted star partial orderings of morphism in category are given, the further results are given for some special category. As the weighted morphisms are identity morphism, respectively, some results on the star partial orderings in previous papers are obtained.