## Nihonkai Mathematical Journal

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

### The equivalence of gyrocommutative gyrogroups and K-loops

#### 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]

#### 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