Nihonkai Mathematical Journal

The equivalence of gyrocommutative gyrogroups and K-loops

Toshikazu Abe

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Abstract

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

Article information

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

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

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1520391685

Mathematical Reviews number (MathSciNet)
MR3771370

Zentralblatt MATH identifier
1388.20073

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

Keywords
gyrogroup K-loop

Citation

Abe, Toshikazu. The equivalence of gyrocommutative gyrogroups and K-loops. Nihonkai Math. J. 28 (2017), no. 1, 69--78. https://projecteuclid.org/euclid.nihmj/1520391685


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