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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 4, Pages 928–933 (Mi smj1889)  
This article is cited in 2 scientific papers (total in 2 papers)

Binary Lie algebras satisfying the third Engel condition

V. T. Filippov
Full-text PDF (267 kB) Citations (2)
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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.
Received: 01.02.1982
Revised: 22.12.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 4, Pages 744–748
DOI: https://doi.org/10.1007/s11202-008-0071-3
Bibliographic databases:
UDC: 519.48
Language: Russian
Citation: V. T. Filippov, “Binary Lie algebras satisfying the third Engel condition”, Sibirsk. Mat. Zh., 49:4 (2008), 928–933; Siberian Math. J., 49:4 (2008), 744–748
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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