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"
}