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On Solvability of Noncommutative Power-Associative Nilalgebras

✍ Scribed by Ivan Correa; Irvin Roy Hentzel

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
56 KB
Volume
240
Category
Article
ISSN
0021-8693

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✦ Synopsis

We show that noncommutative power-associative nilalgebras of finite dimension n and nilindex k are solvable if k s n q 1 or k s n. For any given integer n ) 2, we present an example of a power-associative nilalgebra of dimension n and nilindex n y 1 which is not solvable. This implies a power-associative nilalgebra of dimension n and nilindex k need not be solvable if kn. ᮊ 2001 Academic Press Recall that a nonassociative algebra J is called sol¨able if the descend-Ž1.

Ž sq1.

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