Czédli Gábor and Kulin Júlia: A concise approach to small generating sets of lattices of quasiorders and transitive relations. In: Acta scientiarum mathematicarum, (83) 1-2. pp. 3-12. (2017)
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Abstract
By H. Strietz, 1975, and G. Czédli, 1996, the complete lattice Equ(A) of all equivalences is four-generated, provided the size \A\ is an accessible cardinal. Results of I. Chajda and G. Czédli, 1996, G. Takách, 1996, T. Dolgos, 2015, and J. Kulin, 2016, show that both the lattice Quo(A) of all quasiorders on A and, for .4) < Ho, the lattice Tran(.4) of all transitive relations on A have small generating sets. Based on complicated earlier constructions, we derive some new results in a concise but not self-contained way.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2017 |
| Volume: | 83 |
| Number: | 1-2 |
| ISSN: | 0001 6969 |
| Page Range: | pp. 3-12 |
| Language: | English |
| Publisher: | Bolyai Institute, University of Szeged |
| Place of Publication: | Szeged |
| Official URL: | http://www.acta.hu |
| Related URLs: | http://acta.bibl.u-szeged.hu/48269/ |
| DOI: | 10.14232/actasm-016-056-2 |
| Uncontrolled Keywords: | Kombinatorika |
| Additional Information: | Bibliogr.: p. 11-12. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2017. Jul. 10. 11:31 |
| Last Modified: | 2026. Feb. 24. 08:10 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/48911 |
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