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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 592–599
(Mi smj1092)
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This article is cited in 3 scientific papers (total in 3 papers)
The Magnus embedding for right-symmetric algebras
D. Kh. Kozybaev, U. U. Umirbaev L. N. Gumilev Eurasian National University
Abstract:
We construct a basis for the universal multiplicative enveloping algebra $U(A)$ of a right-symmetric algebra $A$. We prove an analog of the Magnus embedding for right-symmetric algebras; i.e., we prove that a right-symmetric algebra $A/R^2$, where $A$ is a free right-symmetric algebra, is embedded into the algebra of triangular matrices of the second order.
Keywords:
right-symmetric algebra, Magnus embedding, universal enveloping algebra.
Received: 16.06.2003
Citation:
D. Kh. Kozybaev, U. U. Umirbaev, “The Magnus embedding for right-symmetric algebras”, Sibirsk. Mat. Zh., 45:3 (2004), 592–599; Siberian Math. J., 45:3 (2004), 488–494
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https://www.mathnet.ru/eng/smj1092 https://www.mathnet.ru/eng/smj/v45/i3/p592
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Abstract page: | 465 | Full-text PDF : | 143 | References: | 58 |
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