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Nilpotent linear transformations and the solvability of power-associative nilalgebras

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2005-02-01
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Correa, Iván
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Nilpotent linear transformations and the solvability of power-associative nilalgebras
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Author
  • Correa, Iván;
  • Roy Hentzel, Irvin;
  • Julca, Pedro Pablo;
  • Perezi, Luiz Antonio;
Abstract
We prove some results about nilpotent linear transformations. As an application we solve some cases of Albert's problem on the solvability of nilalgebras. More precisely, we prove the following results: commutative power-associative nilalgebras of dimension n and nilindex n - 1 or n - 2 are solvable; commutative power-associative nilalgebras of dimension 7 are solvable.
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URI: https://repositorio.uchile.cl/handle/2250/118620
ISSN: 0024-3795
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LINEAR ALGEBRA AND ITS APPLICATIONS 396: 35-53 FEB 1 2005
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