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On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops

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In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers $\mathbb{R}$, which are nilpotent module its Lie center. It is proved that… Click to show full abstract

In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers $\mathbb{R}$, which are nilpotent module its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent module their nucleus.

Keywords: moufang loops; malcev algebras; lie center; corresponding analytic

Journal Title: Journal of Algebra
Year Published: 2021

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