Detail publikačního výsledku

Parallelogram spaces and medial quasigroups

VANŽUROVÁ, A.;JUKL, M.

Originální název

Parallelogram spaces and medial quasigroups

Anglický název

Parallelogram spaces and medial quasigroups

Druh

Stať ve sborníku v databázi WoS či Scopus

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.

Anglický 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.

Klíčová slova v angličtině

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

Autoři

VANŽUROVÁ, A.;JUKL, M.

Rok RIV

2013

Vydáno

07.02.2012

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"
}