| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588601 | Journal of Algebra | 2007 | 27 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
