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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 2, Pages 33–38 (Mi ivm6697)  
This article is cited in 12 scientific papers (total in 12 papers)

Nilpotency of $n$-tuple Lie algebras and associative $n$-tuple algebras

N. A. Koreshkov

Chair of Algebra and Mathematical Logic, Kazan State University, Kazan, Russia
Full-text PDF (153 kB) Citations (12)
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Abstract: We obtain conditions for the nilpotency of finite-dimensional $n$-tuple Lie algebras and finite-dimensional associative $n$-tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie algebras and associative algebras.
Keywords: $n$-multiple Lie algebra, associative $n$-multiple algebra, nilpotency.
Received: 01.11.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 2, Pages 28–32
DOI: https://doi.org/10.3103/S1066369X10020040
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: N. A. Koreshkov, “Nilpotency of $n$-tuple Lie algebras and associative $n$-tuple algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2, 33–38; Russian Math. (Iz. VUZ), 54:2 (2010), 28–32
Citation in format AMSBIB
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\by N.~A.~Koreshkov
\paper Nilpotency of $n$-tuple Lie algebras and associative $n$-tuple algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 2
\pages 33--38
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 2
\pages 28--32
\crossref{https://doi.org/10.3103/S1066369X10020040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649551827}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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