| Title:
|
Binary and ternary relations (English) |
| Author:
|
Novák, Vítězslav |
| Author:
|
Novotný, Miroslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
283-292 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Two operators are constructed which make it possible to transform ternary relations into binary relations defined on binary relations and vice versa. A possible graphical representation of ternary relations is described. (English) |
| Keyword:
|
cyclically ordered set |
| Keyword:
|
binary relation |
| Keyword:
|
binding relation |
| Keyword:
|
double binary structure |
| Keyword:
|
ternary structure |
| Keyword:
|
ternary relation |
| MSC:
|
03E20 |
| MSC:
|
04A05 |
| MSC:
|
05C99 |
| MSC:
|
06A06 |
| MSC:
|
06A99 |
| idZBL:
|
Zbl 0772.04005 |
| idMR:
|
MR1184541 |
| DOI:
|
10.21136/MB.1992.126278 |
| . |
| Date available:
|
2009-09-24T20:53:39Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126278 |
| . |
| Reference:
|
[1] P. Alles: Erweiterungen, Diagramme und Dimension zyklischer Oгdnugen.Doctoral Thesis, Darmstadt, 1986. |
| Reference:
|
[2] M. Altwegg: Zur Axiomatik der teilweise geordneter Mengen.Comment. Math. Helv. 24 (1950), 149-155. MR 0037279, 10.1007/BF02567030 |
| Reference:
|
[3] J. Jаkubík G. Pringerová: Representations of cyclically ordered groups.Čas. pěst. mat. 113 (1988), 184-196. MR 0949044 |
| Reference:
|
[4] M. Kolibiаr: On the relation "between" in lattices.Mat. fyz. časopis 5 (1955), 162-171. MR 0078336 |
| Reference:
|
[5] V. Novák: Cyclically ordered sets.Czech. Math. Journ. 32 (1982), 460-473. MR 0669787 |
| Reference:
|
[6] A. Quittiot: Cyclic orders.Europ. J. Combinatorics 10 (1989), 477-488. MR 1014556, 10.1016/S0195-6698(89)80022-8 |
| Reference:
|
[7] M. Sekаninа: Graphs and betweennes.Matem. čas. 25 (1975), 41-47. MR 0422094 |
| Reference:
|
[8] A. I. Zаbаrinа: To the theory of cyclically ordered groups.(in Russian), Matem. zametki 31 (1982), 3-12. MR 0646907 |
| Reference:
|
[9] S. D. Želevа: On cyclically ordered groups.(in Russian), Sibiгskij mat. žurn. 11 (1976), 1046-1051. MR 0422106 |
| . |
