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Matematicheskie Zametki, 1971, Volume 10, Issue 1, Pages 63–67 (Mi mzm7068)  
This article is cited in 1 scientific paper (total in 1 paper)

Structure of genera of representations of nonsemisimple rings

Yu. A. Drozd

Kiev State University
Full-text PDF (382 kB) Citations (1)
Abstract: The investigation of integral representations of arbitrary rings is shown to be equivalent to the case of orders in semisimple algebras. An example is constructed showing that, for an order in a nonsemisimple algebra, the number of representations in the genus may increase without limit with varying genera.
Received: 14.04.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 1, Pages 463–465
DOI: https://doi.org/10.1007/BF01747071
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: Yu. A. Drozd, “Structure of genera of representations of nonsemisimple rings”, Mat. Zametki, 10:1 (1971), 63–67; Math. Notes, 10:1 (1971), 463–465
Citation in format AMSBIB
\Bibitem{Dro71}
\by Yu.~A.~Drozd
\paper Structure of genera of representations of nonsemisimple rings
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 1
\pages 63--67
\mathnet{http://mi.mathnet.ru/mzm7068}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286828}
\zmath{https://zbmath.org/?q=an:0233.16026}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 1
\pages 463--465
\crossref{https://doi.org/10.1007/BF01747071}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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