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Binary Lie algebras satisfying the third Engel condition |
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| Authors: | V. T. Filippov |
| Affiliation: | (1) Novosibirsk, Russia |
| Abstract: | Let Φ be a unital associative commutative ring with 1/2. The local nilpotency is proved of binary Lie Φ-algebras satisfying the third Engel condition. Moreover, it is proved that this class of algebras does not contain semiprime algebras. |
| Keywords: | binary Lie algebra Engel algebra locally nilpotent algebra semiprime algebra |
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