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Matematicheskie Zametki, 1975, Volume 17, Issue 6, Pages 887–892 (Mi mzm7608)  

This article is cited in 7 scientific papers (total in 7 papers)

Galois subrings of simple rings

V. K. Kharchenko

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Full-text PDF (418 kB) Citations (7)
Abstract: Suppose $R$ is a finite direct sum of simple associative rings and $G$ is a finite group of auto-morphisms of the ring $R$. It is shown that if there is no additive $|G|$-torsion in $R$, then the subring of elements of $R$ that are fixed under $G$ is a finite direct sum of simple rings.
Received: 01.10.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 6, Pages 533–536
DOI: https://doi.org/10.1007/BF01442698
Bibliographic databases:
UDC: 519.48
Language: Russian
Citation: V. K. Kharchenko, “Galois subrings of simple rings”, Mat. Zametki, 17:6 (1975), 887–892; Math. Notes, 17:6 (1975), 533–536
Citation in format AMSBIB
\Bibitem{Kha75}
\by V.~K.~Kharchenko
\paper Galois subrings of simple rings
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 6
\pages 887--892
\mathnet{http://mi.mathnet.ru/mzm7608}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=389966}
\zmath{https://zbmath.org/?q=an:0339.16005}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 6
\pages 533--536
\crossref{https://doi.org/10.1007/BF01442698}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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