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On the Bruck-Slaby theorem for commutative Moufang loops

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Abstract

With the help of the relationship between commutative Moufang loops and alternative commutative algebras, we prove, rather easily, the following weakened version of the Bruck-Slaby theorem: a finitely generated commutative Moufang loop is centrally nilpotent.

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Authors and Affiliations

  1. State Agrarian University of Moldova, Kishinev

    N. I. Sandu

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  1. N. I. Sandu
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Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 275–281, August, 1999.

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Sandu, N.I. On the Bruck-Slaby theorem for commutative Moufang loops. Math Notes 66, 217–222 (1999). https://doi.org/10.1007/BF02674880

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  • DOI: https://doi.org/10.1007/BF02674880

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