Publication result detail

Toyoda's Theorem and Quasigroup Modes

VANŽUROVÁ, A.;BARTOSKOVA, Z.

Original Title

Toyoda's Theorem and Quasigroup Modes

English Title

Toyoda's Theorem and Quasigroup Modes

Type

Paper in proceedings (conference paper)

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.;BARTOSKOVA, Z.

RIV year

2013

Released

07.02.2012

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava, SK

ISBN

978-80-89313-58-7

Book

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

Pages from

81

Pages to

90

Pages count

10

BibTex

@inproceedings{BUT97638,
  author="VANŽUROVÁ, A. and BARTOSKOVA, Z.",
  title="Toyoda's Theorem and Quasigroup Modes",
  booktitle="Aplimat 2012, 11th International Conference, February 7-9, 2012",
  year="2012",
  pages="81--90",
  publisher="Slovak University of Technology in Bratislava",
  address="Bratislava, SK",
  isbn="978-80-89313-58-7"
}