Naslov
The meaning of computer search in the study of some classes of IM-quasigroups

Autori
Kolar-Begović, Zdenka ; Volenec, Vladimir

Izvornik
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche (0430-3202) 53 (2007); 293-297

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

Ključne riječi
GS-quasigroup; commutative group; parallelogram

Sažetak
The IM-quasigroup $C(q)$ for $q=\frac{; ; ; 1}; ; ; {; ; ; 2}; ; ; (1+\sqrt{; ; ; 5}; ; ; )$ or $q=\frac{; ; ; 1}; ; ; {; ; ; 2}; ; ; (1-\sqrt{; ; ; 5}; ; ; )$ is a GS-quasigroup. Some interesting geometric concepts can be introduced in a general GS-quasigroup and their nice geometric representations can be given in the mentioned GS-quasigroup which justifies the research of this quasigroup. The concept of a parallelogram can be defined by means of several equivalent formulae. Some of them can be obtained by means of a computer. We shall choose a suitable formula for the definition of a parallelogram which allows the characterisation of GS-quasigroups by means of commutative groups.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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