The structure of F-quasigroups

[摘要] 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. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-11-15

[关键词] F-quasigroup;Moufang loop