Publication result detail

Hexagonal and Golden Quasigroups

VANŽUROVÁ, A.

Original Title

Hexagonal and Golden Quasigroups

English Title

Hexagonal and Golden Quasigroups

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

Our aim is to investigate two subvarieties in the variety of idempotent medial quasigroups, namely hexagonal quasigroups and golden section quasigroups. For both classes, we present here a construction of special finite examples of low order, particularly those arising from an additive group of a finite field and a suitable left translation (with respect to multiplication). As useful tools, we use the concept of isotopism and a modified version of the Toyoda theorem.

English abstract

Our aim is to investigate two subvarieties in the variety of idempotent medial quasigroups, namely hexagonal quasigroups and golden section quasigroups. For both classes, we present here a construction of special finite examples of low order, particularly those arising from an additive group of a finite field and a suitable left translation (with respect to multiplication). As useful tools, we use the concept of isotopism and a modified version of the Toyoda theorem.

Keywords

Magma, quasigroup, medial law, hexagonal quasigroup, golden section quasigroup, finite field.

Key words in English

Magma, quasigroup, medial law, hexagonal quasigroup, golden section quasigroup, finite field.

Authors

VANŽUROVÁ, A.

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

2012(5)

Number

3

State

Slovak Republic

Pages from

31

Pages to

40

Pages count

10

BibTex

@article{BUT97745,
  author="Alena {Vanžurová}",
  title="Hexagonal and Golden Quasigroups",
  journal="Journal of Applied Mathematics",
  year="2012",
  volume="2012(5)",
  number="3",
  pages="31--40",
  issn="1337-6365"
}