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On the notion of gyrogroup

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Abstract

It is shown that the gyrogroup [1] is just the well known left Bol loop with Bruck identity. This result has been announced in [12]. The other constructions of [1] are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Friendship of Nations University, Moscow 117198, Russia , Russia

    L. V. Sabinin

  2. School of Mathematics and Physics, University of Michoacan, Morelia, Mexico, e-mail: sabinina@zeus.ccu.umich.mx, Mexico

    L. L. Sabinina

  3. Department of Mathematics, Moscow Institute of Electronics and Mathematics, Moscow 109028, Russia, Russia

    L. V. Sbitneva

Authors
  1. L. V. Sabinin
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  2. L. L. Sabinina
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  3. L. V. Sbitneva
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Received: January 25, 1996; revised version: March 3, 1997

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Sabinin, L., Sabinina, L. & Sbitneva, L. On the notion of gyrogroup. Aequ. Math. 56, 11–17 (1998). https://doi.org/10.1007/s000100050039

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  • DOI: https://doi.org/10.1007/s000100050039

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