SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ? 2, 3, 5.
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| Auteurs principaux: | , , |
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| Langue: | English |
| Publié: |
Universidad Católica del Norte, Departamento de Matemáticas
2010
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100002 |
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| Résumé: | We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ? 2, 3, 5. |
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