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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2008 Volume 49, Number 4, Pages 928–933 (Mi smj1889)

This article is cited in 2 papers

Binary Lie algebras satisfying the third Engel condition

V. T. Filippov


Abstract: Let $\Phi$ be a unital associative commutative ring with $\frac12$. The local nilpotency is proved of binary Lie $\Phi$-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.

UDC: 519.48

Received: 01.02.1982
Revised: 22.12.2006


 English version:
Siberian Mathematical Journal, 2008, 49:4, 744–748

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© Steklov Math. Inst. of RAS, 2025