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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 4, Pages 727–760
DOI: https://doi.org/10.1070/IM1974v008n04ABEH002126 (Mi im1989) 		 
This article is cited in 101 scientific papers (total in 101 papers)

Trace identities of full matrix algebras over a field of characteristic zero

Yu. P. Razmyslov
English version PDF (1432 kB) Citations (101) Russian version article
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DOI: https://doi.org/10.1070/IM1974v008n04ABEH002126
Abstract: In this paper we consider the trace identities satisfied in a full matrix algebra of order $n$. For the case of a field of characteristic zero we prove that all trace identities are consequences of one obtained from the Hamilton–Cayley theorem.
Received: 22.05.1973
Bibliographic databases:
UDC: 519.4
MSC: Primary 15A24, 16A38, 16A42; Secondary 17B30
Language: English
Original paper language: Russian
Citation: Yu. P. Razmyslov, “Trace identities of full matrix algebras over a field of characteristic zero”, Math. USSR-Izv., 8:4 (1974), 727–760
Citation in format AMSBIB
\Bibitem{Raz74}
\by Yu.~P.~Razmyslov
\paper Trace identities of full matrix algebras over a~field of characteristic zero
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 4
\pages 727--760
\mathnet{http://mi.mathnet.ru/eng/im1989}
\crossref{https://doi.org/10.1070/IM1974v008n04ABEH002126}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=506414}
\zmath{https://zbmath.org/?q=an:0311.16016}
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    • This publication is cited in the following 101 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1481
    Russian version PDF:555
    English version PDF:110
    References:138
    First page:3
     
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