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Orthogonal Gyrodecompositions of Real Inner Product Gyrogroups
Open AccessFeature PaperArticle

Ordered Gyrovector Spaces

Department of Mathematics, Chungbuk National University, Cheongju 28644, Korea
Symmetry 2020, 12(6), 1041; https://doi.org/10.3390/sym12061041
Received: 5 June 2020 / Revised: 18 June 2020 / Accepted: 18 June 2020 / Published: 22 June 2020
(This article belongs to the Special Issue Symmetry and Geometry in Physics)
The well-known construction scheme to define a partial order on a vector space is to use a proper convex cone. Applying this idea to the gyrovector space we construct the partial order, called a gyro-order. We also give several inequalities of gyrolines and cogyrolines in terms of the gyro-order. View Full-Text
Keywords: gyrogroup; gyrovector space; gyroline; cogyroline; partial order gyrogroup; gyrovector space; gyroline; cogyroline; partial order
MDPI and ACS Style

Kim, S. Ordered Gyrovector Spaces. Symmetry 2020, 12, 1041.

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