Campus Units
Mathematics
Document Type
Article
Publication Version
Accepted Manuscript
Publication Date
2-2005
Journal or Book Title
Linear Algebra and its Applications
Volume
396
First Page
35
Last Page
53
DOI
10.1016/j.laa.2004.08.007
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.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Owner
Elsevier Inc.
Copyright Date
2004
Language
en
File Format
application/pdf
Recommended Citation
Correa, Ivan; Hentzel, Irvin R.; Julca, Pedro Pablo; and Peresi, Luiz Antonio, "Nilpotent linear transformations and the solvability of power-associative nilalgebras" (2005). Mathematics Publications. 133.
https://lib.dr.iastate.edu/math_pubs/133
Comments
This article is published as Correa, Ivan, Irvin Roy Hentzel, Pedro Pablo Julca, and Luiz Antonio Peresi. "Nilpotent linear transformations and the solvability of power-associative nilalgebras." Linear algebra and its applications 396 (2005): 35-53. doi:10.1016/j.laa.2004.08.007. Posted with permission.