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Semi-Cohen Versus Cohen Algebras

1994/11/22 by Jindřich Zapletal, Zapletal, Jindřich
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Rings, Modules, and Algebras #math.LO

paper · pdf · doi:10.48550/arxiv.math/9411208

arxiv created 1994/11/22 · arxiv updated 2009/11/30

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.

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