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Sbornik: Mathematics, 2008, Volume 199, Issue 7, Pages 965–983
DOI: https://doi.org/10.1070/SM2008v199n07ABEH003949 (Mi sm3873) 		 
This article is cited in 55 scientific papers (total in 55 papers)

Finite-dimensional simple graded algebras

Yu. A. Bahturina, M. V. Zaiceva, S. K. Sehgalb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Alberta
English version PDF (337 kB) Citations (55)
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DOI: https://doi.org/10.1070/SM2008v199n07ABEH003949
Abstract: Let $R$ be a finite-dimensional algebra over an algebraically closed field $F$ graded by an arbitrary group $G$. In the paper it is proved that if the characteristic of $F$ is zero or does not divide the order of any finite subgroup of $G$, then $R$ is graded simple if and only if it is isomorphic to a matrix algebra over a finite-dimensional graded skew field.
Bibliography: 24 titles.
Received: 08.05.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 7, Pages 21–40
DOI: https://doi.org/10.4213/sm3873
Bibliographic databases:
UDC: 512.552
MSC: Primary 16W50; Secondary 12E15, 17A35
Language: English
Original paper language: Russian
Citation: Yu. A. Bahturin, M. V. Zaicev, S. K. Sehgal, “Finite-dimensional simple graded algebras”, Mat. Sb., 199:7 (2008), 21–40; Sb. Math., 199:7 (2008), 965–983
Citation in format AMSBIB
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    • This publication is cited in the following 55 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:100
    First page:28
     
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