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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 483–496 (Mi smj1083)  
This article is cited in 3 scientific papers (total in 3 papers)

The nilpotency properties of the Leibniz algebra $M_n(C)_D$

Sh. A. Ayupov, B. A. Omirov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (225 kB) Citations (3)
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Abstract: We study the nilpotency properties of the Leibniz algebras constructed by means of $D$-mappings on the algebra of complex square matrices $M_n(C)$. In particular, we obtain a criterion for nilpotency of these algebras in terms of the properties of a $D$-mapping. We prove also that the Leibniz algebras under consideration cannot be simple.
Keywords: Leibniz algebra, associative algebra, $D$-mapping, nilpotency, simple Leibniz algebra.
Received: 18.03.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 399–409
DOI: https://doi.org/10.1023/B:SIMJ.0000028604.91651.80
Bibliographic databases:
UDC: 512.554.38
Language: Russian
Citation: Sh. A. Ayupov, B. A. Omirov, “The nilpotency properties of the Leibniz algebra $M_n(C)_D$”, Sibirsk. Mat. Zh., 45:3 (2004), 483–496; Siberian Math. J., 45:3 (2004), 399–409
Citation in format AMSBIB
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\pages 483--496
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\transl
\jour Siberian Math. J.
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\vol 45
\issue 3
\pages 399--409
\crossref{https://doi.org/10.1023/B:SIMJ.0000028604.91651.80}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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