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.
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Original Russian Text Copyright © 2008 Filippov V. T.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 928–933, July–August, 2008.
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Filippov, V.T. Binary Lie algebras satisfying the third Engel condition. Sib Math J 49, 744–748 (2008). https://doi.org/10.1007/s11202-008-0071-3
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DOI: https://doi.org/10.1007/s11202-008-0071-3