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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 2, Pages 24–28
(Mi vmumm4150)
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Mathematics
Two remarks on critical associative rings
P. N. Siderov
Abstract:
Let $A$ be a critical ring, $R$ its Jacobson radical and $A/R\cong B_1\oplus\dots\oplus B_k$ being simple. We prove that $k$ is at most the nilpotency class of $R$. Then we study when the ring of triangular matrices over a critical ring with unity is critical.
Received: 01.06.1981
Citation:
P. N. Siderov, “Two remarks on critical associative rings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 2, 24–28
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https://www.mathnet.ru/eng/vmumm4150 https://www.mathnet.ru/eng/vmumm/y1982/i2/p24
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Abstract page: | 57 | Full-text PDF : | 19 |
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