English

Semi-Cohen Versus Cohen Algebras

Logic 2008-02-03 v1

Abstract

We show that there are semi-Cohen Boolean algebras which cannot be completely embedded into Cohen Boolean algebras. Using the ideas from this proof, we give a simpler argument for a theorem of S. Koppelberg and S. Shelah, stating that there are complete subalgebras of Cohen algebras which are not Cohen themselves.

Cite

@article{arxiv.math/9411208,
  title  = {Semi-Cohen Versus Cohen Algebras},
  author = {Jindřich Zapletal},
  journal= {arXiv preprint arXiv:math/9411208},
  year   = {2008}
}
R2 v1 2026-07-22T17:55:09.720Z