| 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 | 
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| Category: | math | 
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| 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 | 
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| Date available: | 2008-06-06T21:25:25Z | 
| Last updated: | 2012-05-10 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/107492 | 
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| 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 | 
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