| Title:
|
Characterization of distributive sets by generalized annihilators (English) |
| Author:
|
Halaš, Radomír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
25-27 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Distributive ordered sets are characterized by so called generalized annihilators. (English) |
| Keyword:
|
annihilator |
| Keyword:
|
generalized annihilators |
| Keyword:
|
ideal |
| Keyword:
|
filter |
| MSC:
|
06A06 |
| idZBL:
|
Zbl 0805.06001 |
| idMR:
|
MR1282110 |
| . |
| Date available:
|
2008-06-06T21:25:25Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107492 |
| . |
| Reference:
|
[1] Mandelker, M.: Relative annihilators in lattices.Duke Math. J. 40 (1970), 377-386. Zbl 0206.29701, MR 0256951 |
| Reference:
|
[2] Davey, B.: Some annihilator conditions on distributive lattices.Alg. Universalis 4 (1974), 316-322. Zbl 0299.06007, MR 0357261 |
| Reference:
|
[3] Davey, B., Nieminen, J.: Annihilators in modular lattices.preprint. MR 0870463 |
| Reference:
|
[4] Rachůnek, J.: Translations des ensembles ordonnès.Math. Slovaca 31 (1981), 337-340. MR 0637961 |
| Reference:
|
[5] Rachůnek, J., Chajda, I.: Forbidden configurations for distributive and modular ordered sets.Order 5 (1989), 407-423. MR 1010389 |
| . |