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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1065–1072 (Mi smj1789)  
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
Full-text PDF (295 kB) Citations (3)
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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
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 857–862
DOI: https://doi.org/10.1007/s11202-007-0087-0
Bibliographic databases:
UDC: 512.552.7
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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