Nihonkai Mathematical Journal

The equivalence of gyrocommutative gyrogroups and K-loops

Toshikazu Abe

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It is known that gyrocommutative gyrogroups and K-loops are equivalent. This is a self-contained paper that presents the equivalence.

Article information

Nihonkai Math. J., Volume 28, Number 1 (2017), 69-78.

Received: 15 April 2016
Revised: 7 September 2016
First available in Project Euclid: 7 March 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20N05: Loops, quasigroups [See also 05Bxx]

gyrogroup K-loop


Abe, Toshikazu. The equivalence of gyrocommutative gyrogroups and K-loops. Nihonkai Math. J. 28 (2017), no. 1, 69--78.

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