English

Clones from ideals

Rings and Algebras 2008-07-02 v2 Logic

Abstract

On an infinite base set X, every ideal of subsets of X can be associated with the clone of those operations on X which map small sets to small sets. We continue earlier investigations on the position of such clones in the clone lattice.

Keywords

Cite

@article{arxiv.0802.3822,
  title  = {Clones from ideals},
  author = {Mathias Beiglböck and Martin Goldstern and Lutz Heindorf and Michael Pinsker},
  journal= {arXiv preprint arXiv:0802.3822},
  year   = {2008}
}

Comments

25 pages. Streamlined, better readable

R2 v1 2026-06-21T10:16:02.280Z