Mathematics of the USSR-Izvestiya
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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 98 scientific papers (total in 98 papers)

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

Yu. P. Razmyslov
References:
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 4, Pages 723–756
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”, Izv. Akad. Nauk SSSR Ser. Mat., 38:4 (1974), 723–756; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 4
\pages 723--756
\mathnet{http://mi.mathnet.ru/im1989}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=506414}
\zmath{https://zbmath.org/?q=an:0311.16016}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 4
\pages 727--760
\crossref{https://doi.org/10.1070/IM1974v008n04ABEH002126}
Linking options:
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  • https://doi.org/10.1070/IM1974v008n04ABEH002126
  • https://www.mathnet.ru/eng/im/v38/i4/p723
  • This publication is cited in the following 98 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1091
    Russian version PDF:487
    English version PDF:28
    References:81
    First page:3
     
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