The countable existentially closed pseudocomplemented semilattice
Abstract
As the class of pseudocomplemented semilattices is a universal Horn class generated by a single finite structure it has a 0-categorical model companion. We will construct the countable existentially closed pseudocomplemented semilattice which is the uniquely determined model of cardinality 0 of the model companion as a direct limit of algebraically closed pseudocomplemented semilattices.
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