The Baer Radical Of Generalized Matrix Rings

Abstract

In this paper, we introduce a new concept of generalized matrix rings and build up the general theory of radicals for g.m.rings. Meantime, we obtain $${\bar{r}}_b(A)=g.m.r_b(A)=\sum \{r_b(A_{ij})\mid i,j\in I\}=r_b(A)$$

8 pages