| Title:
|
A parallelogram configuration condition in nets (English) |
| Author:
|
Markvartová, Jitka |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
5-17 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
After describing a (general and special) coordinatization of $k$-nets there are found algebraic equivalents for the validity of certain quadrangle configuration conditions in $k$-nets with small degree $k$. (English) |
| Keyword:
|
k-net |
| Keyword:
|
parallelogram “letter” condition |
| Keyword:
|
admissible relation and admissible algebra |
| MSC:
|
05B25 |
| MSC:
|
05B30 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 0797.05026 |
| idMR:
|
MR1242623 |
| . |
| Date available:
|
2008-06-06T21:23:30Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107461 |
| . |
| Reference:
|
[1] Belousov, V. D.: Algebraic nets and quasigroups.Kishinev, 1971, in Russian. |
| Reference:
|
[2] Havel, V.: General nets and their associated groupoids.Proc.Symp. “n-ary Structures” (1982), Skopje, 229-241. Zbl 0583.20057, MR 0735655 |
| Reference:
|
[3] Havel, V.: Homomorphisms of nets of fixed degree with singular points on the same line.Czech. Math. Journ. 26 (1976), 43-54. Zbl 0331.50014, MR 0392619 |
| . |
