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The Structure of F-Quasigroups by Kepka, Tomáš; Kinyon, Michael K.; Phillips, J. D. is a scholarly article available to read on EtoBox.

What is The Structure of F-Quasigroups about?

We solve a problem of Belousov which has been open since 1967: to characterize the loop isotopes of F-quasigroups. We show that every F-quasigroup has a Moufang loop isotope which is a central product of its nucleus and Moufang center. We then use the loop to reveal the structure of the associated F-quasigroup.

Author

Kepka, Tomáš; Kinyon, Michael K.; Phillips, J. D.

Published

2005

Language

EN