Abel范畴子对象的交在radical中的两个应用

Two applications to radical by using the intersections of subobjects in Abelian categories

首先讨论了Abel范畴中子对象的交与商对象之间的关系,而后利用子对象的交与和,给出Abel范畴子对象radical的另一等价刻画以及计算商对象的radical的公式.

This paper firstly discusses the relationship between intersections of subobjects and quotient objects in Abelian categories, and then by using the intersections of subobjects, puts forward a new characterization of the radical of subobject and a formula of calculating radical of quotient objects.