Title of article :
On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras
Author/Authors :
K. I. Beidar، نويسنده , , M. A. Chebotar، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Abstract :
We describe third power associative multiplications * on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided that x * y − y * x = [x, y] for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obtain necessary and sufficient conditions for these multiplications to be fourth power-associative or flexible.
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra