Ideal clones: Solution to a problem of Czedli and Heindorf
| dc.creator | Goldstern, Martin | |
| dc.creator | Pinsker, Michael | |
| dc.date | 2008-05-05 | |
| dc.date | 2008-06-20 | |
| dc.date.accessioned | 2026-07-07T09:45:31Z | |
| dc.date.available | 2026-07-07T09:45:31Z | |
| dc.description | Given an infinite set X and an ideal I of subsets of X, the set of all finitary operations on X which map all (powers of) I-small sets to I-small sets is a clone. In a 2001 article, G. Czedli and L. Heindorf asked whether or not for two particular ideals I and J on a countably infinite set X, the corresponding ideal clones were a covering in the lattice of clones. We give an affirmative answer to this question. | |
| dc.description | 9 pages. Changes for version 2: Now the references work (hopefully) | |
| dc.identifier | https://arxiv.org/abs/0805.0551 | |
| dc.identifier | http://arxiv.org/abs/0805.0551 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163220 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Logic | |
| dc.subject | 08A40; 08A05 | |
| dc.title | Ideal clones: Solution to a problem of Czedli and Heindorf | |
| dc.type | text |