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
Pages :
29
From page :
675
To page :
703
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
Serial Year :
2000
Journal title :
Journal of Algebra
Record number :
695218
Link To Document :
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