Publication result detail

Toyoda's Theorem and Quasigroup Modes

VANŽUROVÁ, A.; BARTOSKOVÁ, Z.

Original Title

Toyoda's Theorem and Quasigroup Modes

English Title

Toyoda's Theorem and Quasigroup Modes

Type

Peer-reviewed article not indexed in WoS or Scopus

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).

English 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.

Key words in English

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

Authors

VANŽUROVÁ, A.; BARTOSKOVÁ, Z.

RIV year

2013

Released

20.12.2012

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava (SK)

ISBN

1337-6365

Periodical

Journal of Applied Mathematics

Volume

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"
}