The Super Amalgamation Property via Neat Embeddings, and a Problem of Henkin and Monk
Tarek Sayed Ahmed, Tarek Sayed Ahmed · 2008
We give a sufficient condition for a class of representable cylindric algebras to have the super amalgamation property. We show that the class of representable algebras (RCAα) does not satisfy this condition when α> 1, but if we restrict ourselves to the class of dimension com-plemented algebras (Dcα) then this condition is satisfied when α ≥ ω. Hence Dcα’s super amalgamate with respect to RCAα for α ≥ ω. An open problem of Henkin and Monk is solved.