Introduction [Loops and quasigroups]
(2008)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Introduction”
Introduction [Loops and 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.
Nonsplitting F-quasigroups
Stephen Gagola III (2012)
Commentationes Mathematicae Universitatis Carolinae
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T. Kepka, M.K. Kinyon and J.D. Phillips: The structure of F-quasigroups, J. Algebra 317 (2007), no. 2, 435–461 developed a connection between F-quasigroups and NK-loops. Since NK-loops are contained in the variety generated by groups and commutative Moufang loops, a question that arises is whether or not there exists a nonsplit NK-loop and likewise a nonsplit F-quasigroup. Here we prove that there do indeed exist nonsplit F-quasigroups and show that there are exactly four corresponding...