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Gyrogroups and homogeneous loops

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Publication:1970535
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DOI10.1016/S0034-4877(00)87244-4zbMath0953.20055MaRDI QIDQ1970535

A. Nourou Issa

Publication date: 29 October 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

groupoidsBruck loopsgyrogroupsrelativistic velocity addition\(K\)-loopsBol loops


Mathematics Subject Classification ID

Special relativity (83A05) Loops, quasigroups (20N05) Differential geometry of webs (53A60)


Related Items (6)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Einstein gyrogroup as a B-loop ⋮ The Einstein relativistic velocity model of hyperbolic geometry and its plane separation axiom ⋮ Seeing the Möbius disc-transformation group like never before. ⋮ A characterization of Bol left loops. ⋮ On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra







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