Naslov
Pentagonal quasigroups

Autori
Vidak, Stipe

Izvornik
Quasigroups and related systems (1561-2848) 22 (2014), 1; 147-158

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
IM-quasigroup ; regular pentagon

Sažetak
In this paper the concept of pentagonal quasigroup is introduced as {; ; ; IM}; ; ; -quasigroup satisfying the additional property of pentagonality. Some basic identities which are valid in a general pentagonal quasigroup are proved. Four different models for pentagonal quasigroups and their mutual relations are studied. Geometric interpretations of some properties and identities are given in the model $C(q)$, where $q$ is a solution of the equation $q^4-3q^3+4q^2-2q+1=0$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA