On a Class of N-ary Quasigroups
Branka Alimpić (1981)
Publications de l'Institut Mathématique
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Branka Alimpić (1981)
Publications de l'Institut Mathématique
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Jaiyéọlá, T.G., Adéníran, J.O. (2010)
Surveys in Mathematics and its Applications
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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.
Tomáš Kepka, Michael K. Kinyon, Jon D. Phillips (2008)
Commentationes Mathematicae Universitatis Carolinae
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In Kepka T., Kinyon M.K., Phillips J.D., , J. Algebra (2007), 435–461, we showed that every F-quasigroup is linear over a special kind of Moufang loop called an NK-loop. Here we extend this relationship by showing an equivalence between the class of (pointed) F-quasigroups and the class corresponding to a certain notion of generalized module (with noncommutative, nonassociative addition) for an associative ring.
V. S. Ramamurthi (1984)
Acta Universitatis Carolinae. Mathematica et Physica
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