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On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras

✍ Scribed by K.I. Beidar; M.A. Chebotar

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
210 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s 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.

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