Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 2, Pages 24–28 (Mi vmumm4150)  
Mathematics

Two remarks on critical associative rings

P. N. Siderov
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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
Bibliographic databases:
Document Type: Article
UDC: 519.48
Language: Russian
Citation: P. N. Siderov, “Two remarks on critical associative rings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 2, 24–28
Citation in format AMSBIB
\Bibitem{Sid82}
\by P.~N.~Siderov
\paper Two remarks on critical associative rings
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 2
\pages 24--28
\mathnet{http://mi.mathnet.ru/vmumm4150}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0655397}
\zmath{https://zbmath.org/?q=an:0502.16007}
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