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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1065–1072
(Mi smj1789)
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This article is cited in 3 scientific papers (total in 3 papers)
Complete radicals of some group rings
A. I. Kornev Omsk Institute (Branch) of Russian State University of Trade and Economics
Abstract:
We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field.
Keywords:
group ring, complete ring, complete radical, Kurosh–Amitsur radical.
Received: 24.04.2006 Revised: 10.01.2007
Citation:
A. I. Kornev, “Complete radicals of some group rings”, Sibirsk. Mat. Zh., 48:5 (2007), 1065–1072; Siberian Math. J., 48:5 (2007), 857–862
Linking options:
https://www.mathnet.ru/eng/smj1789 https://www.mathnet.ru/eng/smj/v48/i5/p1065
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Abstract page: | 238 | Full-text PDF : | 81 | References: | 41 |
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