Publication detail

Parallelogram spaces and medial quasigroups

VANŽUROVÁ, A.,JUKL, M.

Original Title

Parallelogram spaces and medial quasigroups

Type

journal article - other

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

20. 12. 2012

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava (SK)

ISBN

1337-6365

Periodical

Journal of Applied Mathematics

Year of study

2012 (5)

Number

3

State

Slovak Republic

Pages from

133

Pages to

140

Pages count

8

BibTex

@article{BUT97747,
  author="Alena {Vanžurová}",
  title="Parallelogram spaces and medial quasigroups",
  journal="Journal of Applied Mathematics",
  year="2012",
  volume="2012 (5)",
  number="3",
  pages="133--140",
  issn="1337-6365"
}