Ideal clones: Solution to a problem of Czedli and Heindorf

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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.
9 pages. Changes for version 2: Now the references work (hopefully)

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Rings and Algebras, Logic, 08A40; 08A05

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http://salesiana.dossiersoluciones.com/handle/123456789/163220

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.0551
 http://arxiv.org/abs/0805.0551

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arXiv