Detail publikace

Parallelogram spaces and medial quasigroups

VANŽUROVÁ, A.JUKL, M.

Originální název

Parallelogram spaces and medial quasigroups

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Parallelogram space; affine space; parallelogram; vector; medial quasigroup.

Autoři

VANŽUROVÁ, A.;JUKL, M.

Rok RIV

2012

Vydáno

7. 2. 2012

Nakladatel

Slovak University of Technology in Bratislava

Místo

Bratislava

ISBN

978-80-89313-58-7

Kniha

Aplimat 2012, 11th International Conference, February 7-9, 2012

Strany od

417

Strany do

424

Strany počet

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"
}