Multiquasigroups and weighted projective planes
Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1
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We introduce and study the notion of weighted projective planes which is a generalization of the usual projective plane. We compare them with totally symmetric $(n,m)$-quasigroups. We prove that a weighted projective plane $S(2, n + 1, n^2 + n + 1)$ iz equivalent to a totally symmetric $(2, n - 1)-$quasigroup.