弱加法范畴的特殊根和Brown-McCoy根

Special Radical and Brown-McCoy Radical of Weakly Additive Category

引言 [1]中将象元类是I的加法范畴记作A=∪_αA_β,其中_αA_β表示Hom(α,β)中所有态射之集。据范畴的定义,对于任意α∈I,_αA_α中必有单位元_α|_α,从而对于范畴中规定的加法和乘法来说,_αA_α作成一个有单位元的结合环。

In this paper weakly additive category and its special radical andBrown--McCoy radical are defined, and some propositions which are parallel to associ-ated results of usual theory of rings are obtained.