Browsing by Subject "Polynomial identity"
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(Taylor and Francis Inc., 2015)© 2015, Copyright Taylor & Francis Group, LLC. In this article, we prove the nilpotency of commutative nonassociative finitely generated algebras satisfying an identity of type (Formula presented.) with α + β ≠ 0. Our ...
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(Taylor & Francis, 2015)
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(Universidad Catolica del Norte, 2010)We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Ourmainresultisthatthese algebras are solvable and not necessarily nilpotent. Our results require characteristic 6≠2, 3, 5.