On a class of n-ary quasigroups.
Alimpic, Branka P. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Loops and quasigroups: Aspects of current work and prospects for the future”
On a class of n-ary quasigroups.
On quasigroups with the left loop property
A. Nourou Issa (2000)
Commentationes Mathematicae Universitatis Carolinae
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Some properties of quasigroups with the left loop property are investigated. In loops we point out that the left loop property is closely related to the left Bol identity and the particular case of homogeneous loops is considered.
On -quasigroups.
Beg, Afzal (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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F-quasigroups isotopic to groups
Tomáš Kepka, Michael K. Kinyon, Jon D. Phillips (2010)
Commentationes Mathematicae Universitatis Carolinae
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In Kepka T., Kinyon M.K., Phillips J.D., , , we showed that every loop isotopic to an F-quasigroup is a Moufang loop. Here we characterize, via two simple identities, the class of F-quasigroups which are isotopic to groups. We call these quasigroups FG-quasigroups. We show that FG-quasigroups are linear over groups. We then use this fact to describe their structure. This gives us, for instance, a complete description of the simple FG-quasigroups. Finally, we show an equivalence of equational...