分次环的分次根(英文)

Graded Radical of G-graded Rings

给出了建立分次环根的一般方法.作为其应用,建立了分次环的分次Brown-McCoy根,并给出了Brown-McCoy半单分次环的结构定理.

A general approach to the radical of a graded ring is proposed. The graded Brown-McCoy radical for group-graded rings is then developed as another instance of this idea. Furthermore, the structure theorem for Brown-McCoy semi-simple graded rings is also given.