Symmetries in hexagonal quasigroups
Vladimír Volenec; Mea Bombardelli
Archivum Mathematicum (2007)
- Volume: 043, Issue: 2, page 123-132
- ISSN: 0044-8753
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topVolenec, Vladimír, and Bombardelli, Mea. "Symmetries in hexagonal quasigroups." Archivum Mathematicum 043.2 (2007): 123-132. <http://eudml.org/doc/250155>.
@article{Volenec2007,
abstract = {Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries.},
author = {Volenec, Vladimír, Bombardelli, Mea},
journal = {Archivum Mathematicum},
keywords = {quasigroup; hexagonal quasigroup; symmetry; hexagonal quasigroups; semisymmetric quasigroups; medial quasigroups; idempotent quasigroups; vectors; transfers; multiplication groups; symmetries},
language = {eng},
number = {2},
pages = {123-132},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Symmetries in hexagonal quasigroups},
url = {http://eudml.org/doc/250155},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Volenec, Vladimír
AU - Bombardelli, Mea
TI - Symmetries in hexagonal quasigroups
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 2
SP - 123
EP - 132
AB - Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries.
LA - eng
KW - quasigroup; hexagonal quasigroup; symmetry; hexagonal quasigroups; semisymmetric quasigroups; medial quasigroups; idempotent quasigroups; vectors; transfers; multiplication groups; symmetries
UR - http://eudml.org/doc/250155
ER -
References
top- Volenec V., Geometry of medial quasigroups, Rad Jugoslav. Akad. Znan. Umjet. [421] 5 (1986), 79–91. (1986) Zbl0599.20112MR0857271
- Volenec V., Geometry of IM quasigroups, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [456] 10 (1991), 139–146. (1991) Zbl0794.51010MR1211606
- Volenec V., Hexagonal quasigroups, Arch. Math. (Brno), 27a (1991), 113–122. (1991) Zbl0780.20046MR1189648
- Volenec V., Regular triangles in hexagonal quasigroups, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [467] 11 (1994), 85–93. (1994) Zbl0841.20063MR1362503
- Bombardelli M., Volenec V., Vectors and transfers in hexagonal quasigroups, to be published in Glas. Mat. Ser. III. MR2376913
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