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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 281, Pages 128–132 (Mi znsl1491)  
This article is cited in 1 scientific paper (total in 1 paper)

A note on almost regular group rings

G. A. Garkusha

Saint-Petersburg State University
Full-text PDF (136 kB) Citations (1)
Abstract: It is proved that the group ring $R=AG$ is an almost regular ring if and only if: (i) the ring $A$ is almost regular, (ii) the group $G$ is locally finite and (iii) an order of any finite subgroup $H$ of the group $G$ is a unit in $A$.
Received: 16.04.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 120, Issue 4, Pages 1561–1562
DOI: https://doi.org/10.1023/B:JOTH.0000017884.68307.e8
Bibliographic databases:
Language: Russian
Citation: G. A. Garkusha, “A note on almost regular group rings”, Problems in the theory of representations of algebras and groups. Part 8, Zap. Nauchn. Sem. POMI, 281, POMI, St. Petersburg, 2001, 128–132; J. Math. Sci. (N. Y.), 120:4 (2004), 1561–1562
Citation in format AMSBIB
\Bibitem{Gar01}
\by G.~A.~Garkusha
\paper A note on almost regular group rings
\inbook Problems in the theory of representations of algebras and groups. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 281
\pages 128--132
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1875720}
\zmath{https://zbmath.org/?q=an:1070.16504}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 120
\issue 4
\pages 1561--1562
\crossref{https://doi.org/10.1023/B:JOTH.0000017884.68307.e8}
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  • https://www.mathnet.ru/eng/znsl/v281/p128
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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