Detail publikačního výsledku

Hexagonal and Golden Quasigroups

VANŽUROVÁ, A.

Originální název

Hexagonal and Golden Quasigroups

Anglický název

Hexagonal and Golden Quasigroups

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

VANŽUROVÁ, A.

Rok RIV

2013

Vydáno

20.12.2012

Nakladatel

Slovak University of Technology in Bratislava

Místo

Bratislava (SK)

ISSN

1337-6365

Periodikum

Journal of Applied Mathematics

Svazek

2012(5)

Číslo

3

Stát

Slovenská republika

Strany od

31

Strany do

40

Strany počet

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"
}