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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 613–623 (Mi smj1094)  
This article is cited in 5 scientific papers (total in 5 papers)

Characterization of one radical of group rings over finite prime fields

A. I. Kornev, T. V. Pavlova

Omsk State Pedagogical University
Full-text PDF (214 kB) Citations (5)
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Abstract: We study complete and reduced associative rings (in the sense of L. M. Martynov). We prove a necessary and sufficient test for completeness of a semigroup ring, calculate the greatest complete subring (which is an ideal) of a group ring over finite prime fields, and characterize the reduced group rings of finite groups over finite prime fields.
Keywords: group ring, semigroup ring, complete ring, Kurosh–Amitsur radical.
Received: 14.11.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 504–512
DOI: https://doi.org/10.1023/B:SIMJ.0000028615.28396.f2
Bibliographic databases:
UDC: 512.552.7
Language: Russian
Citation: A. I. Kornev, T. V. Pavlova, “Characterization of one radical of group rings over finite prime fields”, Sibirsk. Mat. Zh., 45:3 (2004), 613–623; Siberian Math. J., 45:3 (2004), 504–512
Citation in format AMSBIB
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\by A.~I.~Kornev, T.~V.~Pavlova
\paper Characterization of one radical of group rings over finite prime fields
\jour Sibirsk. Mat. Zh.
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\vol 45
\issue 3
\pages 613--623
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2078720}
\zmath{https://zbmath.org/?q=an:1058.16027}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 3
\pages 504--512
\crossref{https://doi.org/10.1023/B:SIMJ.0000028615.28396.f2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000222146600012}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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