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Matematicheskie Zametki, 2013, Volume 93, Issue 5, Pages 764–771
DOI: https://doi.org/10.4213/mzm9168 (Mi mzm9168) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Commutator Nilpotency Step of Strictly $(-1,1)$-Algebras

S. V. Pchelintsev

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (462 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9168
Abstract: We prove that the commutator algebra of the $c$‑homotope of a strictly $(-1,1)$-algebra is nilpotent of step $\le5$, i.e., that $\mathrm{ad}_c(x_1)\dots\mathrm{ad}_c(x_5)=0$; this bound is sharp.
Keywords: strictly $(-1,1)$-algebra, commutator algebra, nilpotency step, $c$-homotope, right alternative algebra.
Received: 18.04.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 5, Pages 756–762
DOI: https://doi.org/10.1134/S000143461305012X
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: S. V. Pchelintsev, “On the Commutator Nilpotency Step of Strictly $(-1,1)$-Algebras”, Mat. Zametki, 93:5 (2013), 764–771; Math. Notes, 93:5 (2013), 756–762
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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