Semi-Cohen Versus Cohen Algebras

Mathematics – Logic

Scientific paper

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Scientific paper

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.

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