Article
Keywords:
partial semigroup; $e$-semigroup; cyclically ordered set; $c$-algebra
Summary:
A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.
References:
                        
[1] P. Alles J. Nešetřil S. Poljak: 
Extendability, dimensions and diagrams of cyclic orders. Siam J. Discr. Math. 4 (1991), 453-471. 
DOI 10.1137/0404041 | 
MR 1129385[2] J. Jakubík: 
On extended cyclic orders. Czechoslovak Math. J. 44 (119) (1994), 661-675. 
MR 1295142[3] V. Novák: 
Cyclically ordered sets. Czechoslovak Math. J. 32 (107) (1982), 460-473. 
MR 0669787[4] V. Novák: 
Ternary structures and partial semigroups. Czechoslovak Math. J. To appear. 
MR 1371693[5] V. Novák M. Novotný: 
Transitive ternary relations and quasiorderings. Archivum Math. (Brno) 25 (1989), 5-12. 
MR 1189193