Naslov
Pseudosquares in quadratical quasigroup

Autori
Kolar-Šuper, Ružica ; Kolar-Begović, Zdenka ; Volenec, Vladimir

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstracts, Loops'07 / - Prag, 2007, 16-16

Skup
Loops'07

Mjesto i datum
Prag, Češka Republika, 19.08.2007. - 25.08.2007

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
quadratical quasigroup ; pseudosquare

Sažetak
A quadratical quasigroup is defined as a quasigroup which satisfy identity $ab\cdota=ca \cdot bc$. The geometrical concept of a square and parallelogram can be defined in a general quadratical quasigroup. The concept of a skewsquare can be defined in a general quadratical quasigroup. The statements referring to to the connection between a skewsquare and geometrical concepts of the midpoint, parallelogram and a square will be obtained. The mentioned statements will be proved by means of identities and equivalencies wich hold in a general quadratical quasigroups. The geometrical representation of the obtained concepts and relations between them will be given in the quadratical quasigroup $C(1\2(1+i))$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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