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This article is cited in 54 scientific papers (total in 54 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
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
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
Linking options:
https://www.mathnet.ru/eng/sm3873https://doi.org/10.1070/SM2008v199n07ABEH003949 https://www.mathnet.ru/eng/sm/v199/i7/p21
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Abstract page: | 767 | Russian version PDF: | 361 | English version PDF: | 28 | References: | 90 | First page: | 28 |
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