| Title:
|
On a modification of axioms of general relations (English) |
| Author:
|
Karásek, Jiří |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
581-592 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Basic concepts concerning binary and ternary relations are extended to relations of arbitrary arities and then investigated. (English) |
| Keyword:
|
relation |
| Keyword:
|
$n$-decomposition |
| Keyword:
|
diagonal |
| Keyword:
|
$(K,\psi )$-modification |
| Keyword:
|
composition |
| Keyword:
|
$m$-th power |
| Keyword:
|
$m$-th cyclic transposition |
| Keyword:
|
$(p)$-hull |
| MSC:
|
03E20 |
| MSC:
|
08A02 |
| idZBL:
|
Zbl 0978.03039 |
| idMR:
|
MR1970261 |
| DOI:
|
10.21136/MB.2001.134201 |
| . |
| Date available:
|
2009-09-24T21:54:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134201 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] F. Hausdorff: Grundzüge der Mengenlehre.Veith $\&$ Co., Leipzig, 1914. MR 0031025 |
| Reference:
|
[4] I. Chajda, V. Novák: On extension of cyclic orders.Časopis Pěst. Mat. 110 (1985), 116–121. MR 0796561 |
| Reference:
|
[5] J. Karásek: On a modification of relational exioms.Arch. Math. 28 (1992), 95–111. MR 1201871 |
| Reference:
|
[6] J. Karásek: Projections of relations.Math. Bohem. 120 (1995), 283–291. MR 1369686 |
| Reference:
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[7] V. Novák: Cyclically ordered sets.Czechoslovak Math. J. 32 (1982), 460–473. MR 0669787 |
| Reference:
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[8] J. Šlapal: Relations of type $\alpha $.Z. Math. Logik Grundl. Math. 34 (1988), 563–573. MR 0973399, 10.1002/malq.19880340608 |
| Reference:
|
[9] J. Šlapal: On relations.Czechoslovak Math. J. 39 (1989), 198–214. MR 0992127 |
| Reference:
|
[10] J. Šlapal: On the direct power of relational systems.Math. Slovaca 39 (1989), 251–255. MR 1016341 |
| Reference:
|
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| . |
