The Baer Radical Of Generalized Matrix Rings
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🧮 math.RA
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ringsgeneralizedmatrixbaerbuildconceptgeneralintroduce
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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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