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Magnus representation for nonassociative algebras (Q1878554)

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scientific article; zbMATH DE number 2098952
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English
Magnus representation for nonassociative algebras
scientific article; zbMATH DE number 2098952

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    Magnus representation for nonassociative algebras (English)
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    7 September 2004
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    Let \(k\) be a field, \(\mu\) be a homeomorphism similar to the Magnus representation [\textit{A. N. Danilov}, Russ. Math. Surv. 55, No. 3, 572--573 (2000); translation from Usp. Mat. Nauk 55, No. 3, 175--176 (2000; Zbl 0967.08007)]. The author proves that if char \(k\not=2\) (only for the \(\varepsilon\)-case) and the ideal \(I\) is monomial, then \(\text{ker}\,\mu = [I,I]\).
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    nonassociative algebras
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    Magnus representation
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