The equivalence of gyrocommutative gyrogroups and K-loops

zbMath1388.20073MaRDI QIDQ1635290

Toshikazu Abe

Publication date: 6 June 2018

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1520391685

zbMATH Keywords

gyrogroupK-loop

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (1)

Examples and applications of generalized gyrovector spaces

Cites Work

• The relativistic noncommutative nonassociative group of velocities and the Thomas rotation
• On the notion of gyrogroup
• Theory of K-loops
• On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
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