Naslov
A class of quasigroups associated with a cubic Pisot number

Autori
Krčadinac, Vedran ; Volenec, Vladimir

Izvornik
Quasigroups and related systems (1561-2848) 13 (2005), 2; 269-280

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

Ključne riječi
IM-quasigroup; Pisot number

Sažetak
In this paper idempotent medial quasigroups satisfying the identity (ab.a)a=b are studied. An example are the complex numbers with multiplication defined by a.b=(1-q)a+qb, where q is a solution of q^3-2q^2+q-1=0. The positive root of this cubic equation can be viewed as a generalization of the golden ratio. It turns out that the quasigroups under consideration have many similar properties to the so-called golden section quasigroups.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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