Journal Title/Source
Journal of Algebra
Publication Date
2007
Volume
317
Page Numbers
435–461
Document Type
Journal Article
Department
Mathematics and Computer Science
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.
Recommended Citation
Phillips, J.D., "THE STRUCTURE OF F-QUASIGROUPS" (2007). Journal Articles. 527.
https://commons.nmu.edu/facwork_journalarticles/527
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