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The meaning of computer search in the study of some classes of IM-quasigroups (CROSBI ID 140302)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kolar-Begović, Zdenka ; Volenec, Vladimir The meaning of computer search in the study of some classes of IM-quasigroups // Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche, 53 (2007), 293-297

Podaci o odgovornosti

Kolar-Begović, Zdenka ; Volenec, Vladimir

engleski

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

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.

GS-quasigroup; commutative group; parallelogram

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Podaci o izdanju

53

2007.

293-297

objavljeno

0430-3202

1827-1510

Povezanost rada

Matematika

Indeksiranost