设是一个范畴,S是的一个局部类.构造的态射范畴的一个左局部化范畴C[S-1],并给出一定条件下,由不同对象确定的态射范畴及其左局部化之间的关系.
Let be a category and S be a localizing class of .Construct a left localization C[S-1] of a morphism category of .Then present the relations among the morphism categories which determined by different objects and their left localizations,under certain conditions.