Cyclically ordered sets as partial algebras

Vítězslav Novák

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 2, page 165-176
  • ISSN: 0862-7959

Abstract

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A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.

How to cite

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Novák, Vítězslav. "Cyclically ordered sets as partial algebras." Mathematica Bohemica 121.2 (1996): 165-176. <http://eudml.org/doc/247977>.

@article{Novák1996,
abstract = {A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.},
author = {Novák, Vítězslav},
journal = {Mathematica Bohemica},
keywords = {partial semigroup; $e$-semigroup; cyclically ordered set; $c$-algebra; partial semigroup; -semigroup; cyclically ordered set; -algebra},
language = {eng},
number = {2},
pages = {165-176},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cyclically ordered sets as partial algebras},
url = {http://eudml.org/doc/247977},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Novák, Vítězslav
TI - Cyclically ordered sets as partial algebras
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 2
SP - 165
EP - 176
AB - A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed.
LA - eng
KW - partial semigroup; $e$-semigroup; cyclically ordered set; $c$-algebra; partial semigroup; -semigroup; cyclically ordered set; -algebra
UR - http://eudml.org/doc/247977
ER -

References

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  1. P. Alles J. Nešetřil S. Poljak, 10.1137/0404041, Siam J. Discr. Math. 4 (1991), 453-471. (1991) MR1129385DOI10.1137/0404041
  2. J. Jakubík, On extended cyclic orders, Czechoslovak Math. J. 44 (119) (1994), 661-675. (1994) MR1295142
  3. V. Novák, Cyclically ordered sets, Czechoslovak Math. J. 32 (107) (1982), 460-473. (1982) MR0669787
  4. V. Novák, Ternary structures and partial semigroups, Czechoslovak Math. J. To appear. MR1371693
  5. V. Novák M. Novotný, Transitive ternary relations and quasiorderings, Archivum Math. (Brno) 25 (1989), 5-12. (1989) MR1189193
  6. A. Quilliot, 10.1016/S0195-6698(89)80022-8, Europ. J. Combin. 10 (1989), 477-488. (1989) Zbl0692.05059MR1014556DOI10.1016/S0195-6698(89)80022-8

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