Cho, Jung R.; Kim, Hee Sik On \(B\)-algebras and quasigroups. (English) Zbl 0994.08003 Quasigroups Relat. Syst. 8, 1-6 (2001). A groupoid \((Q,\cdot)\) is a \(B\)-algebra if for all \(x,y,z\in Q\) there hold \(xx=0\), \(x0=x\), \((xy)z = x(z(0y))\), where \(0\) is some fixed element of \(Q\). It is proved that such an algebra is a quasigroup. Reviewer: Wiesław A.Dudek (Wrocław) Cited in 1 ReviewCited in 12 Documents MSC: 08A62 Finitary algebras 20N05 Loops, quasigroups 06F35 BCK-algebras, BCI-algebras Keywords:B-algebra; quasigroup PDFBibTeX XMLCite \textit{J. R. Cho} and \textit{H. S. Kim}, Quasigroups Relat. Syst. 8, 1--6 (2001; Zbl 0994.08003)