Publication detail

Toyoda's Theorem and Quasigroup Modes

VANŽUROVÁ, A. BARTOSKOVÁ, Z.

Original Title

Toyoda's Theorem and Quasigroup Modes

Type

journal article - other

Language

English

Original Abstract

The paper is concerned with the representative principle describing medial quasigroups by means of corresponding commutative groups. We present Toyoda-like theorems: how to pass from a medial quasigroup to the corresponding commutative group, and conversely. Then we give a modification for the variety of quasigroup modes (idempotent medial quasigroups).

Keywords

Quasigroup; mediality; isotopy; quasigroup mode; Toyoda theorem.

Authors

VANŽUROVÁ, A.; BARTOSKOVÁ, Z.

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

5

Number

3

State

Slovak Republic

Pages from

41

Pages to

50

Pages count

10

BibTex

@article{BUT97744,
  author="VANŽUROVÁ, A. and BARTOSKOVÁ, Z.",
  title="Toyoda's Theorem and Quasigroup Modes",
  journal="Journal of Applied Mathematics",
  year="2012",
  volume="5",
  number="3",
  pages="41--50",
  issn="1337-6365"
}