| Title:
|
Cyclically ordered sets as partial algebras (English) |
| Author:
|
Novák, Vítězslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
165-176 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A representation of cyclically ordered sets by means of partial semigroups with an additional unary operation is constructed. (English) |
| Keyword:
|
partial semigroup |
| Keyword:
|
$e$-semigroup |
| Keyword:
|
cyclically ordered set |
| Keyword:
|
$c$-algebra |
| MSC:
|
04A05 |
| MSC:
|
06A06 |
| MSC:
|
08A55 |
| idZBL:
|
Zbl 0864.06001 |
| idMR:
|
MR1400609 |
| DOI:
|
10.21136/MB.1996.126100 |
| . |
| Date available:
|
2009-09-24T21:17:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126100 |
| . |
| Reference:
|
[1] P. Alles J. Nešetřil S. Poljak: Extendability, dimensions and diagrams of cyclic orders.Siam J. Discr. Math. 4 (1991), 453-471. MR 1129385, 10.1137/0404041 |
| Reference:
|
[2] J. Jakubík: On extended cyclic orders.Czechoslovak Math. J. 44 (119) (1994), 661-675. MR 1295142 |
| Reference:
|
[3] V. Novák: Cyclically ordered sets.Czechoslovak Math. J. 32 (107) (1982), 460-473. MR 0669787 |
| Reference:
|
[4] V. Novák: Ternary structures and partial semigroups.Czechoslovak Math. J. To appear. MR 1371693 |
| Reference:
|
[5] V. Novák M. Novotný: Transitive ternary relations and quasiorderings.Archivum Math. (Brno) 25 (1989), 5-12. MR 1189193 |
| Reference:
|
[6] A. Quilliot: Cyclic orders.Europ. J. Combin. 10 (1989), 477-488. Zbl 0692.05059, MR 1014556, 10.1016/S0195-6698(89)80022-8 |
| . |
