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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 5, Pages 53–55
(Mi vmumm904)
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This article is cited in 6 scientific papers (total in 6 papers)
Short notes
Characterization of commutative matrix subalgebras of maximal length over an arbitrary field
O. V. Markova Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
A characterization of commutative subalgebras of length $n-1$ in the full matrix algebra of order $n$ over an arbitrary field is obtained in terms of generating elements.
Key words:
lengths of algebras, commutative matrix algebras, nonderogatory matrices.
Received: 19.05.2008
Citation:
O. V. Markova, “Characterization of commutative matrix subalgebras of maximal length over an arbitrary field”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 5, 53–55
Linking options:
https://www.mathnet.ru/eng/vmumm904 https://www.mathnet.ru/eng/vmumm/y2009/i5/p53
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