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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm9168https://doi.org/10.4213/mzm9168 https://www.mathnet.ru/eng/mzm/v93/i5/p764
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