engleski

The maximal number of U-k-seminets of the maximal degree

Aczel (1965) investigated quasigroups, 3-nets and nomograms and Belousov (1971) k-nets and associated (k-1)-quasigroups. There are different 3-seminets and k-seminets (see e.g. Havel (1967), Taylor (1971), Ušan (1977), Galić (1989), etc.) to which by some rules one can assign corresponding algebraic structures (partial quasigroups and partial groupoids). Galić (1990) defines U-k-seminets of the maximal degree and shows the existence and construction in dependence on the set P over which one constructs a k-seminet. In this paper it is shown how many U-k-seminets of maximal degree mu can be constructed over the set P for the given t-order.

U-k-seminets; k-seminets; t-order; maximal degree

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