The maximal number of U-k-seminets of the maximal degree
Radoslav Galić · University of Zagreb University Computing Centre (SRCE) · 1997
Aczel (1965) investigated quasigroups, 3-nets and nomograms andBelousov (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 µ can be constructed over the set P for the given t-order. Key words: U-k -seminets, k -