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Left Distributive Quasigroups and Gyrogroups
Issa, A. Nourou
138810
415
Quasigroups
loops
application/pdf
The connection between gyrogroups and some types of left distributive quasigroups is established by means of isotopy considerations. Any quasigroup of reflection is isotopic to some gyrocommutative gyrogroup and any left distributive quasigroup satisfying some specific condition is isotopic to some nongyrocommutative gyrogroup. The geometry of reductive homogeneous spaces and the semidirect product for homogeneous loops are used to produce local exact decompositions of groups and local gyrocommutative gyrogroups.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2001
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
8
1
16
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40214/files/jms080101.pdf
eng