Multiquasigroups and weighted projective planes
Kragujevac Journal of Mathematics, Tome 30 (2007), p. 211
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Keywords:
weighted projective planes, multiquasigroups, blocks designs, Steiner systems
Alija Mandak. Multiquasigroups and weighted projective planes. Kragujevac Journal of Mathematics, Tome 30 (2007), p. 211 . http://geodesic.mathdoc.fr/item/KJM_2007_30_a14/
@article{KJM_2007_30_a14,
author = {Alija Mandak},
title = {Multiquasigroups and weighted projective planes},
journal = {Kragujevac Journal of Mathematics},
pages = {211 },
year = {2007},
volume = {30},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_a14/}
}