On the Solvability of Commutative Power-Associative Nilalgebras of Nilindex 4
Let A be a commutative power-associative nilalgebra. In this paper we prove that when A (of characteristic ≠ 2) is of dimension ≤ 10 and the identity x4=0 is valid in A, then ((y²)x²)x²=0 for all y, x in A and ((A²)²)²=0. That is, A is solvable.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2010
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262010000200005 |
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