SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
Let A be a commutative power-associative nilalgebra: In this paper we prove that when A (of characteristic ≠ 2) is of dimension < 8 and x4 = 0 for all x <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>A; then ((A²)²)² = 0: That is, A is solvable. We conclude that if A is of dimension < 7 over a field of characteristic ≠ 2, 3 and 5; then A is solvable
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2004
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200005 |
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