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On permutable N-groups

W. A. Dudek, Z. Stojakovic (1988)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

On quasigroups with the left loop property

A. Nourou Issa (2000)

Commentationes Mathematicae Universitatis Carolinae

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 quasivarieties of nilpotent Moufang loops. II

Vasile I. Ursu (2012)

Commentationes Mathematicae Universitatis Carolinae

In this part of the paper we study the quasiidentities of the nilpotent Moufang loops. In particular, we solve the problem of finite basis for quasiidentities in the finitely generated nilpotent Moufang loop.

On Rusakov’s n -ary r s -groups

Wiesław Aleksander Dudek, Zoran Stojaković (2001)

Czechoslovak Mathematical Journal

Properties of n -ary groups connected with the affine geometry are considered. Some conditions for an n -ary r s -group to be derived from a binary group are given. Necessary and sufficient conditions for an n -ary group < θ , b > -derived from an additive group of a field to be an r s -group are obtained. The existence of non-commutative n -ary r s -groups which are not derived from any group of arity m < n for every n 3 , r > 2 is proved.

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