Title of article
Nilpotent linear transformations and the solvability of power-associative nilalgebras Original Research Article
Author/Authors
Ivan Correa، نويسنده , , Irvin Roy Hentzel، نويسنده , , Pedro Pablo Julca، نويسنده , , Luiz Antonio Peresi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
19
From page
35
To page
53
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.
Keywords
Nilalgebra , Solvable , Nilpotent , Nilpotent linear transformations , Commutative , Power-associative , Albert’s problem
Journal title
Linear Algebra and its Applications
Serial Year
2005
Journal title
Linear Algebra and its Applications
Record number
824688
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