On quasigroups with the left loop property

A. Nourou Issa

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$F$ -quasigroups isotopic to Moufang loops

Tomáš Kepka (1979)

Czechoslovak Mathematical Journal

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On a class of n-ary quasigroups.

Alimpic, Branka P. (1981)

Publications de l'Institut Mathématique. Nouvelle Série

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On $B^{*}$ -quasigroups.

Beg, Afzal (1998)

Bulletin of the Malaysian Mathematical Society. Second Series

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On a Class of N-ary Quasigroups

Branka Alimpić (1981)

Publications de l'Institut Mathématique

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Arithmetical forms of quasigroups

Petr Němec (1988)

Commentationes Mathematicae Universitatis Carolinae

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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...

Displaying similar documents to “On quasigroups with the left loop property”

F -quasigroups isotopic to Moufang loops

On a class of n-ary quasigroups.

On B * -quasigroups.

On a Class of N-ary Quasigroups

Arithmetical forms of quasigroups

Nonsplitting F-quasigroups

$F$ -quasigroups isotopic to Moufang loops

On $B^{*}$ -quasigroups.