Title of article
The structure of F-quasigroups
Author/Authors
Tom?? Kepka، نويسنده , , Michael K. Kinyon، نويسنده , , J.D. Phillips، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
27
From page
435
To page
461
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.
Keywords
F-quasigroup , Moufang loop
Journal title
Journal of Algebra
Serial Year
2007
Journal title
Journal of Algebra
Record number
698331
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