The Baer Radical Of Generalized Matrix Rings

Details The Baer Radical Of Generalized Matrix Rings The Baer Radical Of Generalized Matrix Rings

2004-03-17

arxiv.org/abs/math/0403280v1

Proc. of the Sixth SIAM Conf. on Parallel Processing for Scientific Computing, pp.546--551, Norfolk, Virginia, 1993. Eds: R.F.

Mathematics

Rings and Algebras

8 pages

Scientific paper

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
$$\bar{r}_b(A)=g.m.r_b(A)=\sum\{r_b(A_{ij})\mid i, j\in I\}=r_b(A)$$

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