Publication detail
Parallelogram spaces and medial quasigroups
VANŽUROVÁ, A.JUKL, M.
Original Title
Parallelogram spaces and medial quasigroups
Type
conference paper
Language
English
Original Abstract
Our aim is to show that a more general class of the so-called parallelogram spaces can be viewed as a generalization of affine spaces. Natural examples arise from medial quasigroups. The apparatus of parallelograms also enables us to prove a version of Toyoda's Theorem that relates a given medial quasigroup to a particular commutative group.
Keywords
Parallelogram space; affine space; parallelogram; vector; medial quasigroup.
Authors
VANŽUROVÁ, A.;JUKL, M.
RIV year
2012
Released
7. 2. 2012
Publisher
Slovak University of Technology in Bratislava
Location
Bratislava
ISBN
978-80-89313-58-7
Book
Aplimat 2012, 11th International Conference, February 7-9, 2012
Pages from
417
Pages to
424
Pages count
8
BibTex
@inproceedings{BUT97636,
author="VANŽUROVÁ, A. and JUKL, M.",
title="Parallelogram spaces and medial quasigroups",
booktitle="Aplimat 2012, 11th International Conference, February 7-9, 2012",
year="2012",
pages="417--424",
publisher="Slovak University of Technology in Bratislava",
address="Bratislava",
isbn="978-80-89313-58-7"
}