Cyclically ordered sets as partial algebras
Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 165-176

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MR Zbl
A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.
A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.
DOI : 10.21136/MB.1996.126100
Classification : 04A05, 06A06, 08A55
Keywords: partial semigroup; $e$-semigroup; cyclically ordered set; $c$-algebra
Novák, Vítězslav. Cyclically ordered sets as partial algebras. Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 165-176. doi: 10.21136/MB.1996.126100
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[1] P. Alles J. Nešetřil S. Poljak: Extendability, dimensions and diagrams of cyclic orders. Siam J. Discr. Math. 4 (1991), 453-471. | DOI | MR

[2] J. Jakubík: On extended cyclic orders. Czechoslovak Math. J. 44 (119) (1994), 661-675. | MR

[3] V. Novák: Cyclically ordered sets. Czechoslovak Math. J. 32 (107) (1982), 460-473. | MR

[4] V. Novák: Ternary structures and partial semigroups. Czechoslovak Math. J. To appear. | MR

[5] V. Novák M. Novotný: Transitive ternary relations and quasiorderings. Archivum Math. (Brno) 25 (1989), 5-12. | MR

[6] A. Quilliot: Cyclic orders. Europ. J. Combin. 10 (1989), 477-488. | DOI | MR | Zbl

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