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Mathematical Communications, Vol. 16 No. 2, 2011.

Original scientific paper

ARH - quasigroups

Vladimir Volenec ; Department of Mathematics, University of Zagreb, Zagreb, Croatia
Zdenka Kolar - Begović ; Department of Mathematics, University of Osijek, Osijek, Croatia
Ružica Kolar - Šuper ; Faculty of Teacher Education, University of Osijek, Osijek, Croatia

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Abstract

In this paper, the concept of an ARH--quasigroup is introduced and
identities valid in that quasigroup are studied.
The geometrical concept of an affine--regular heptagon is defined
in a general ARH--quasigroup and geometrical representation in the
quasigroup $\mathbb{C}(2 \cos \frac{\pi}{7})$ is given. Some
statements about new points obtained from the vertices of an
affine--regular heptagon are also studied.

Keywords

ARH--quasigroup; mediality; affine--regular heptagon

Hrčak ID:

74899

URI

https://hrcak.srce.hr/74899

Publication date:

21.12.2011.

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